Question 24
TrigonometryIf tan x = 4/3, 0° < x < 90°, find the value of sin x − cos x.
- A.1/10
- B.⅕
- C.5/12
- D.1⅖
Show the answer and explanation
Answer: B (⅕)
Explanation
Sides 3, 4, 5: sin x = 4/5, cos x = 3/5, so sin x − cos x = 1/5.
If tan x = 4/3, 0° < x < 90°, find the value of sin x − cos x.
Answer: B (⅕)
Sides 3, 4, 5: sin x = 4/5, cos x = 3/5, so sin x − cos x = 1/5.