Question

The product of sin 30° and sin 60° is same as the product blank of

and blank

A. cos 60 degrees
B. tan 30 degrees

A. cos 30 degrees
B. tan 60 degrees​

Answer 1

A. & A.

Explanation:

sin(x) = cos(90-x)

sin(30) = cos(90-30) = 60

sin(60) = cos(90-60) = 30

Answer 2

A. cos60° and A. cos30°

Explanation:

We know that is A and B are complementary, so

sinA = cosB

sin30° = cos60° and

sin60° = cos30°

So,

sin30°·sin60° = cos60°·cos30°

The product of sin30° and sin60° is same as the product of cos60° and cos30°.