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- 1. Multiple Choice
In scalene triangle ABC shown in the diagram below, m∠C = 90°. Which equation is always true?
1) sinA = sinB
2) cosA = cosB
3) cosA = sinC
4) sinA = cosB
- 2. Multiple Choice
In triangle ABC below, angle C is a right angle. Which statement must be true?
1) sinA = cosB
2) sinA = tanB
3) sinB = tanA
4) sinB = cosB
- 3. Multiple Choice
Which expression is always equivalent to sinx when 0° < x < 90°?
1) cos(90° − x)
2) cos(45° − x)
3) cos(2x)
4) cos x
- 4. Multiple Choice
In ABC, the complement of ∠B is ∠A. Which statement is always true?
1) tan∠A = tan∠B
2) sin∠A = sin∠B
3) cos∠A = tan∠B
4) sin∠A = cos∠B
- 5. Multiple Choice
In right triangle ABC, m∠C = 90° and AC ≠ BC. Which trigonometric ratio is equivalent to sinB?
1) cosA
2) cosB
3) tanA
4) tanB
- 6. Multiple Choice
The expression sin57° is equal to
1) tan33°
2) cos 33°
3) tan57° 4) cos 57°
4) cos 57°
- 7. Multiple Choice
In a right triangle, sin(40 − x)° = cos(3x)°. What is the value of x?
1) 10
2) 15
3) 20
4) 25
- 8. Multiple Choice
In a right triangle, the acute angles have the relationship sin(2x + 4) = cos(46). What is the value of x?
1) 20
2) 21
3) 24
4) 25
- 9. Multiple Choice
If sin(2x + 7)° = cos(4x − 7)°, what is the value of x?
1) 7
2) 15
3) 21
4) 30
- 10. Multiple Choice
For the acute angles in a right triangle, sin(4x)° = cos(3x + 13)°. What is the number of degrees in the measure of the smaller angle?
1) 11°
2) 13°
3) 44°
4) 52°
- 11. Multiple Choice
Find the value of R that will make the equation sin73° = cosR true when 0° < R < 90°.
90
17
107
73
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