Trigonometry | Mathematics

LESSONNEW

Trigonometry

0 plays

10th grade

Mathematics

rpvvyvd_16850

8 minutes ago

Save

Copy and Edit

INSTRUCTOR-LED SESSION

Start a live lesson

ASYNCHRONOUS LEARNING

Assign homework

18 slides PreviewShow answers

Slide 1
SURVEY
Ungraded
30 seconds
Report an issue
Trigonometry
Body text
Tags:
Topics:
Question 2
SURVEY
Ungraded
30 seconds
Report an issue
Q.
$\cos\ 45^o\ =\ ....$
answer choices
$\frac{1}{2}\sqrt{2}$
$\frac{1}{2}\sqrt{3}$
$\frac{1}{2}$
$\frac{1}{3}\sqrt{3}$
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><msqrt><mn>2</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{2}\sqrt{2}</annotation></semantics></math>212<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
alternatives
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><msqrt><mn>3</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{2}\sqrt{3}</annotation></semantics></math>213<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{2}</annotation></semantics></math>21 
 <math><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><msqrt><mn>3</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{3}\sqrt{3}</annotation></semantics></math>313<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
answer explanation
Tags:
Topics:
Question 3
SURVEY
Ungraded
30 seconds
Report an issue
Q.
$\cos\ 60^o\ =\ ....$
answer choices
$\frac{1}{2}\sqrt{2}$
$\frac{1}{2}\sqrt{3}$
$\frac{1}{2}$
$\frac{1}{3}\sqrt{3}$
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><msqrt><mn>2</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{2}\sqrt{2}</annotation></semantics></math>212<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
alternatives
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><msqrt><mn>3</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{2}\sqrt{3}</annotation></semantics></math>213<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{2}</annotation></semantics></math>21 
 <math><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><msqrt><mn>3</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{3}\sqrt{3}</annotation></semantics></math>313<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
answer explanation
Tags:
Topics:
Question 4
SURVEY
Ungraded
30 seconds
Report an issue
Q.
$\cos\ 30^o\ =\ ....$
answer choices
$\frac{1}{2}\sqrt{2}$
$\frac{1}{2}\sqrt{3}$
$\frac{1}{2}$
$\frac{1}{3}\sqrt{3}$
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><msqrt><mn>2</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{2}\sqrt{2}</annotation></semantics></math>212<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
alternatives
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><msqrt><mn>3</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{2}\sqrt{3}</annotation></semantics></math>213<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
 <math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{2}</annotation></semantics></math>21 
 <math><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><msqrt><mn>3</mn></msqrt></mrow><annotation encoding="application/x-tex">\frac{1}{3}\sqrt{3}</annotation></semantics></math>313<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
answer explanation
Tags:
Topics:
Question 5
SURVEY
Ungraded
60 seconds
Report an issue
Q.
tan²x + 1 =
answer choices
csc²x
sec²x
sec²x - 1
cscx
csc2x
alternatives
sec2x
sec2x - 1
cscx
answer explanation
Tags:
Topics:
Question 6
SURVEY
Ungraded
60 seconds
Report an issue
Q.
1 - sin²x =
answer choices
cos²x
cos²x+1
csc²x
tan²x
cos2x
alternatives
cos2x+1
csc2x
tan2x
answer explanation
Tags:
Topics:
Question 7
SURVEY
Ungraded
180 seconds
Report an issue
Q.
Simplify (sec²x)(1 - sin²x)
answer choices
-cos(x)
1
-1
-sin(x)
-cos(x)
alternatives
1
-1
-sin(x)
answer explanation
Tags:
Topics:
Question 8
SURVEY
Ungraded
300 seconds
Report an issue
Q.
Simplify (Hint: you will need to FOIL first)
answer choices
sinθ
cot²θ
tan²θ
cos²θ
sinθ
alternatives
cot²θ
tan²θ
cos²θ
answer explanation
Tags:
Topics:
Question 9
SURVEY
Ungraded
30 seconds
Report an issue
Q.
Simplify...

$\frac{\cot\left(\theta\right)\sin\left(\theta\right)}{\cos\left(\theta\right)}$
answer choices
$\sec\left(\theta\right)$
1
 <math><semantics><mrow><mi>sec</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mi>θ</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">\sec\left(\theta\right)</annotation></semantics></math>sec(θ) 
alternatives
1
answer explanation
Tags:
Topics:
Question 10
SURVEY
Ungraded
30 seconds
Report an issue
Q.
Simplify...

$\cos\left(\theta\right)+\sin\left(\theta\right)\tan\left(\theta\right)$
answer choices
$\sec\left(\theta\right)$
$\csc\left(\theta\right)$
 <math><semantics><mrow><mi>sec</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mi>θ</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">\sec\left(\theta\right)</annotation></semantics></math>sec(θ) 
alternatives
 <math><semantics><mrow><mi>csc</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mi>θ</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">\csc\left(\theta\right)</annotation></semantics></math>csc(θ) 
answer explanation
Tags:
Topics:
Question 11
SURVEY
Ungraded
30 seconds
Report an issue
Q.
$\frac{\tan x}{\sec x}$

answer choices
$\cos x$
$\csc x$
$\cot x$
$\sin x\$
 <math><semantics><mrow><mi>cos</mi><mo>⁡</mo><mi>x</mi></mrow><annotation encoding="application/x-tex">\cos x</annotation></semantics></math>cosx 
alternatives
 <math><semantics><mrow><mi>csc</mi><mo>⁡</mo><mi>x</mi></mrow><annotation encoding="application/x-tex">\csc x</annotation></semantics></math>cscx 
 <math><semantics><mrow><mi>cot</mi><mo>⁡</mo><mi>x</mi></mrow><annotation encoding="application/x-tex">\cot x</annotation></semantics></math>cotx 
 <math><semantics><mrow><mi>sin</mi><mo>⁡</mo><mi>x</mi><mtext> </mtext></mrow><annotation encoding="application/x-tex">\sin x\ </annotation></semantics></math>sinx 
answer explanation
Tags:
Topics:
Question 12
SURVEY
Ungraded
45 seconds
Report an issue
Q. Is this a pythagorean identity?
tan²x + 1 = secx
answer choices
Yes
No
Yes
alternatives
No
answer explanation
Tags:
Topics:
Question 13
SURVEY
Ungraded
45 seconds
Report an issue
Q. Please select the correct solution
cos²x + sin ²x=
answer choices
1
csc²x + sec²x
sin²x
1 - sin²x
1
alternatives
csc 2 x + sec 2 x
sin 2 x
1 - sin 2 x
answer explanation
Tags:
Topics:
Question 14
SURVEY
Ungraded
180 seconds
Report an issue
Q. What is the length of the side opposite ∠X?
answer choices
16
30
34
16
alternatives
30
34
answer explanation
Tags:
Topics:
Question 15
SURVEY
Ungraded
30 seconds
Report an issue
Q.
Which trigonometric ratio should you use?
answer choices
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
Tangent Ratio
alternatives
Sine Ratio
Cosine Ratio
Any ratio
answer explanation
Tags:
Topics:
Question 16
SURVEY
Ungraded
30 seconds
Report an issue
Q.
Which trigonometric ratio should you use?
answer choices
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
Tangent Ratio
alternatives
Sine Ratio
Cosine Ratio
Any ratio
answer explanation
Tags:
Topics:
Question 17
SURVEY
Ungraded
30 seconds
Report an issue
Q.
Which trigonometric ratio should you use?
answer choices
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
Tangent Ratio
alternatives
Sine Ratio
Cosine Ratio
Any ratio
answer explanation
Tags:
Topics:
Question 18
SURVEY
Ungraded
30 seconds
Report an issue
Q.
Which trigonometric ratio should you use?
answer choices
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
Tangent Ratio
alternatives
Sine Ratio
Cosine Ratio
Any ratio
answer explanation
Tags:
Topics: