Question

ΔABC is a right triangle in which angle B is a right angle, AB = 1, AC = 2, and BC = square root of 3 . cos C × sin A equals what

Answer 1

Remark

Study the triangle carefully. It may not be exactly as you have drawn it, but it will work if you just follow the givens.

Givens

AC = 2

AB = 1

BC = sqrt(3)

Step One

Find Cos C

Cos(C) = adjacent / Hypotenuse

Cos(C) = BC / AB

Cos(C) = sqrt(3)/2

Step Two

Find Sin(A)

Sin(A) = opposite / hypotenuse

Sin(A) = AB / AC

Sin(A) = 1/2

Step Three

Find Cos(C) * Sin(A)

Cos(C) * Sin(A) = sqrt(3)/2 * 1/2 = sqrt(3) / 4 <<<< Answer