Question

Angles A and B are complementary. If cos A = 7x − 9 and sin B = 4x + 15, what is the value of x?

Answer 1

The value of x according to the described angles is; 8

Complementary angles

If two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.

From the statement above, it follows that;

• 4x + 15 = 7x -9

Collect like terms;

• 15 +9 = 7x - 4x

• 3x = 24

Divide both sides by 3;

x = 24/3 = 8.

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