Question

5. If tanθ = cot(30 +θ), find the value of θ .​

Answer 1

Answer

tan theta = cot ( 30 + theta )

cot (90- theta ) = cot ( 30 + theta ) ( cot ( 90- theta ) = tan theta )

on comparing we get

90-- theta = 30 + theta

theta + theta = 90- 30

2 theta = 60

theta = 60 / 2

theta = 30

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