 Trigonometric Identities
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Practice 20 QuestionsShow answers
• Question 1
45 seconds
Q. What is csc(x) equivalent to?
1/sin(x)
1/tan(x)
sin(x)
1/cos(x)
• Question 2
45 seconds Q. Please select the correct solution
csc2 x
cot2 x
sin2 x
sec2 x
• Question 3
45 seconds
Q. Please select the correct solution
cos 2 x + sin x=
1
csc 2 x + sec 2 x
sinx
1 - sinx
• Question 4
45 seconds Q. Please select the correct solution
csc x
sec x
cot x
tan x
• Question 5
300 seconds Q. Simplify
sin²θ
cosθ
tanθ
1- sin²θ
• Question 6
300 seconds Q. Simplify
-1
sin θ
csc θ
1
• Question 7
300 seconds Q.

Simplify (Hint: you will need to FOIL first)

sinθ

cot²θ

tan²θ

cos²θ

• Question 8
300 seconds Q. Simplify
secθ
cos²θ
sin²θ
sin²θ/cos²θ
• Question 9
300 seconds
Q. Simplify:
(secx-1)(secx+1).
Hint: you will need to FOIL first
tan2x
sinx
cot2x
cosx
• Question 10
300 seconds
Q. Simplify:  tanxcotx-cos2x
tanx
cotx
sin2x
cos2x
• Question 11
45 seconds
Q. Is this a pythagorean identity?
tan2x + 1 = secx
Yes
No
• Question 12
300 seconds
Q. Simplify this to a basic trigonometry function:
tan(x)csc(x)
tanx
secx
cotx
cscx
• Question 13
45 seconds
Q. tan(90⁰ -θ) x sin θ/cos θ =
1/2
1/√2
√3/2
1
• Question 14
20 seconds
Q. Solve the following for cos2θ:
sin2θ + cos2θ = 1
cos2θ = 1 - sin2θ
cosθ = 1 + sin2θ
cosθ = 1 - sinθ
• Question 15
20 seconds
Q. Solve the following for tan2θ:
1 + tan2θ = sec2θ
tan2θ = sec2θ + 1
tan2θ = sec2θ - 1
tanθ = secθ - 1
• Question 16
10 seconds
Q. Rewrite tan(x) in terms of sin(x) and cos(x).
tan(x) = cos(x)/sin(x)
tan(x) = 1/cot(x)
tan(x) = sin(x)/cos(x)
• Question 17
10 seconds
Q. What is csc(x) equivalent to?
1/sin(x)
1/tan(x)
sin(x)
1/cos(x)
• Question 18
30 seconds Q. Please select the correct solution
csc2 x
cot2 x
sin2 x
sec2 x
• Question 19
180 seconds Q. Simplify
-1
sin θ
csc θ
1
• Question 20
300 seconds Q. Simplify