Question

cos66=0.407, what is the sine of the complementary angle?sin 34 = 0.559, what is the cosine of the complementary angle?

Answer 1

Explanation

To answer the question, we will have to know what complementary angles mean

Complementary angles are angles that add up to give 90 degrees

Part A

Therefore if we have an angle to be 66 degrees

The complementary angle will be

$90^0-66^0=24^0$

Therefore, the angle is 24 degrees

So the sine angle of the complementary angle will be

$sin24^0=0.407$

The sine of the complementary angle will be 0.407

Also for the second part

If an angle is 34 degrees

The complementary angle will be

$90^0-34^0=56^0$

The cosine angle will be

$cos56^0=0.559$

Therefore, the answer is 0.559