∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A sin B?

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marcusbrown443mbrown marcusbrown443mbrown

01-05-2016
Mathematics

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∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A sin B?

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taskmasters taskmasters · Answer 1 · 2016-05-15T09:37:51+02:00

taskmasters taskmasters

15-05-2016

Complementary angles are two angles which add up to 90° or forms a right angle. First, we find the value of A and B.

A = arccosine (0.83) = 34°
B = 90 - 34 = 56°

Thus, sin A = 0.56 and sin B = 0.83.

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