Question

Lt A and B are complimentary angles of right triangle ABC cis A = 0.83 and cis B = 0.55 what is sin A + sin BA.

A. 0.28
B. 1
C. 0.38
D. 1.38​

Answer 1

The sum of sin A and sin B for complementary angles of a right triangle, with cis A = 0.83 and cis B = 0.55, is 1.38.

Step-by-step explanation:

The question pertains to the trigonometric concepts within a right triangle and how the sine function values relate to the cosine function values for complementary angles. In a right triangle, the angles A and B, which are complementary, add up to 90 degrees. Given that cis A is the cosine of angle A and it is 0.83, we can infer that sin A is 0.55 since sine and cosine of complementary angles are switched. Similarly, if cis B is the cosine of angle B and it is 0.55, then sin B must be 0.83. Therefore, when asked to calculate sin A + sin B, we simply sum the sine values of both complementary angles, which is 0.55 + 0.83. The sum yields 1.38, which corresponds to choice D in the provided options.