In a right triangle ABC, right-angled at B, if tan A = 1/√3, what is the value of 2 sin A cos A?
Show answer & explanation
Correct answer: A
Explanation
tan A = 1/√3
According to the formula:
2 sin A cos A = sin 2A
tan 30° = 1/√3
tan A = 1/√3
A = 30°
Now
2 sin A cos A
= sin 2A
= sin 60°
= √3/2