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Question

If tan2A = cot(A-18), then value of A (in degrees) is:
  1. 36

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Solution

The correct option is A 36

Given, tan 2A = cot (A - 18)

tan 2A = tan (90 - (A - 18)

tan 2A = tan (108 - A)

2A = 108 - A

3A = 108

A = 36


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