Trigonometry
1. How many degrees is equal to one radian?
A : $\displaystyle \frac{\pi }{360}$
B : $\displaystyle \frac{360}{\pi }$
C : $\displaystyle \frac{\pi }{180}$
D : $\displaystyle \frac{180}{\pi }$
2. Which is equal to sin θ?
A : Opposite Side/Hypotenuse
B : Hypotenuse/Opposite side
C : Adjacent Side/Hypotenuse
D : Hypotenuse/Adjacent side
3. What is equal to cos θ?
A : Hypotenuse/Adjacent Side
B : Adjacent Side/Hypotenuse
C : Opposite side/Hypotenuse
D : Hypotenuse/Opposite Side
4. What is equal to tan θ?
A : Opposite Side/Hypotenuse
B : Adjacent Side/Hypotenuse
C : Opposite Side/Adjacent Side
D : Adjacent side/Opposite side
5. What is the value of tan θ if sin θ = 4/5 ?
A : 4/5
B : 5/3
C : 3/4
D : 4/3
6. What is the value of θ if sinθ = √3/2 ?
A : 30°
B : 45°
C : 60°
D : 90°
7. What is the value of tan 45° if sin 45° = 1/√2?
A : 1/√2
B : √3/2
C : 1
D : 1/√3
8. What is the value of sin 30° if cos 30° = √3/2 ?
A : √3/2
B : 1/2
C : 1/√3
D : 1/√2
9. What is 1 + cot²θ?
A : sec²θ
B : cosec²θ
C : cot²θ
D : tan²θ
10. What is the height of the wall where the ladder touches the wall if the ladder is 2.5 m long makes an angle of 60° with the ground?
B : 4.23 m
C : 2.165 m
D : 4.43 m
11. What is the height of AC?
B : 17.32 m
C : 173.2 m
D : 1732 m
12. What is the height of the building if a ladder at 45° touches the building placed 16 m from the base of the building?
A : 15 m
B : 16 m
C : 17 m
D : 18 m
13. What is the angle of elevation of the top of a light house of 15 m height seen at a point 15 m away from the base?
B : 45°
C : 60°
D : 90°
14. What is the angle of θ?
B : 45°
C : 60°
D : 90°
15. What is the term for the object seen higher than eye level?
A : Angle of inclination
B : Angle of friction
C : Angle of elevation
D : Angle of depression
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