In a right triangle for an acute angle x, if sin x = 3/7, then find the value…
2023
In a right triangle for an acute angle x, if sin x = 3/7, then find the value of cos x.
- A.
2/7
- B.
3/4
- C.
1/√3
- D.
2√(10) / 7
Show answer & explanation
Correct answer: D
If sin x = 3/7, then the adjacent side is sqrt(7^2 - 3^2) = sqrt(40) = 2sqrt(10). Therefore cos x = 2sqrt(10)/7.