Question

The sine of the complimentary angle to 75° a. 0.65 c. 0.34 b. 0.57 d. 0.26

Answer 1

The complementary angle to 75 degrees is 25 degrees.
The sine of 15 degrees is .2588
LETTER D

Answer 2

d. 0.26

Explanation:

We are asked to find the value of the The sine of the complimentary angle to 75°.

Since we know that complementary angles add up-to 90 degrees, so let us find the measure of complementary angle of 75° angle by subtracting 75° from 90°.

`\text{Measure of complementary angle}=90^o-75^0`

`\text{Measure of complementary angle}=15^0`

Now let us find the sine of 15 degree angle. Using a calculator we will get,

`sin(15^o)=0.258819045103`

Upon rounding our answer to nearest hundredth we will get,

`sin(15^o)\approx 0.26`

Therefore, the sine of complementary angle to 75° is 0.26 and option 'd' is the correct choice.