Δ ABC is a right triangle. If ∠B = 90° and tan A = 1/√2, then the value of sin…
2023
Δ ABC is a right triangle. If ∠B = 90° and tan A = 1/√2, then the value of sin A cos C + cos A sin C is:
- A.
1
- B.
2
- C.
2/3
- D.
1/3
Show answer & explanation
Correct answer: A
Since angle B is 90 degrees in triangle ABC, A + C = 90 degrees. The expression sin A cos C + cos A sin C equals sin(A + C) = sin 90 degrees = 1.