Answer:
d. 0.26
Step-by-step 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°.
[tex]\text{Measure of complementary angle}=90^o-75^0[/tex]
[tex]\text{Measure of complementary angle}=15^0[/tex]
Now let us find the sine of 15 degree angle. Using a calculator we will get,
[tex]sin(15^o)=0.258819045103[/tex]
Upon rounding our answer to nearest hundredth we will get,
[tex]sin(15^o)\approx 0.26[/tex]
Therefore, the sine of complementary angle to 75° is 0.26 and option 'd' is the correct choice.
