Question 37
TrigonometryIf tan x = 3/4, 0 < x < 90°, evaluate cos x/(2 sin x).
- A.8/3
- B.3/2
- C.4/3
- D.2/3
Show the answer and explanation
Answer: D (2/3)
Explanation
With sides 3, 4, 5: sin x = 3/5 and cos x = 4/5. So (4/5) ÷ (6/5) = 2/3.
If tan x = 3/4, 0 < x < 90°, evaluate cos x/(2 sin x).
Answer: D (2/3)
With sides 3, 4, 5: sin x = 3/5 and cos x = 4/5. So (4/5) ÷ (6/5) = 2/3.