Question

If tan5A=cot(A-30) find A .

Answer 1

$tan5A= cot(A-30)\\\\cot(90-5A) = cot(A-30)\\\\90-5A=A-30\\\\90+30=6A\\\\120=6A\\\\A=20$

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If tan 2A = cot (A- 30), find A

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