# Answer to Question #31907 in Trigonometry for Kristen Woods

Question #31907

If sin x = 0.20, cos x = .98, sin y = .12, and cos y = .99, which of the following is cos(x + y)?

A. -.94

B. -.95

C. .96

D. .95

A. -.94

B. -.95

C. .96

D. .95

Expert's answer

As cos(x+y)=cos(x)cos(y)-sin(x)sin(y) we obtain that cos(x+y)=0.99*0.98-0.2*0.12=0.9462. So, the answer is D.

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