∠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?

2 answers:

4 0

Since the angles are complementary, it follows that sin A = cos B and sin B = cos A

therefore sin A + sin B = 0.55 + 0.83 = 1.38

tester [12.3K]1 month ago

3 0

Answer:

$sin(A)+sin(B)=1.38$

Step-by-step explanation:

Let

A, B and $90\°$ denote the angles in a right triangle

we know that

$m$ ------> considering complementary angles

therefore

$sin(A)=cos(B)$

$sin(B)=cos(A)$

With this problem, we have

$cos(A)=0.83$

$cos(B)=0.55$

hence

$sin(A)=0.55$

$sin(B)=0.83$

$sin(A)+sin(B)=0.55+0.83=1.38$

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