1. A triangle has sides 3, 4, and 5. What is the sine of the angle opposite the side of length 3?
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Mth – TRIGONOMETRY AND BEARING
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2. If θ = 60°, what is tan θ?
3. What is the area of a sector with radius 4 cm and angle 90°?
4. Which of the following is a Pythagorean identity?
5. If tan θ = 1, what is the value of θ in degrees (0° ≤ θ ≤ 90°)?
6. If the sector angle is 120° and radius is 9 cm, what is the arc length?
7. What is the angle of depression from a point A (height 100 m) to point B on the ground if the horizontal distance is 100 m?
8. What is the value of cos 60°?
9. If the angle of depression from the top of a building to a car is 45° and the building is 30 m high, how far is the car from the building?
10. What is cot θ in terms of sin θ and cos θ?
11. What is the angle of depression if a person looks down from a height to an object on the ground?
12. What is the sector area of a circle with radius 6 cm and angle π/3 radians?
13. What is the value of sin 45°?
14. What is the radius of a circle if its sector has an arc length of 15 cm and a central angle of 3 radians?
15. In a triangle, if tan θ = 4/3, what is sin θ?
16. A ladder 13 m long reaches a window 12 m high. What is the angle of elevation of the ladder?
17. What is tan 45°?
18. If a circle has radius 5 cm and sector angle 72°, what is the arc length?
19. What is the sector angle of a circle if the arc length is 10 cm and the radius is 5 cm?
20. A man walks 5 km due North and then 5 km due East. What is his bearing from the starting point?