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If cos2B = sin(2B - 30°), then find the measure of 'B'.

Question

If cos2B = sin(2B - 30°), then find the measure of 'B'.

A 14° Correct Answer Incorrect Answer

B 30° Correct Answer Incorrect Answer

C 36° Correct Answer Incorrect Answer

D 26° Correct Answer Incorrect Answer

Solution

We know that, cosA = sin(90° - A) cos2B = sin(2B - 30°) Or, sin(90° - 2B) = sin(2B - 30°) Or, 90° - 2B = 2B - 30° Or, 2B + 2B = 90° + 30° So, B = (120° / 4) = 30°

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