Question

Tan 2 theta= cot ( theta +6) find the value of theta

Answer 1

Tan 2 theta = cot ( theta +6 )

Cot (90-2theta) = cot (theta + 6)

On comparing,we get:

90-2 theta = theta +6

3 theta=84

Theta=28

Answer 2

Answer:

$Value \: of \: \theta = 28$

Step-by-step explanation:

$Given \\tan\:2\theta=cot(\theta+6)$

$\implies cot(90-2\theta)= cot(\theta+6)$

/* We know that,

$tan\theta = cot(90-\theta)$

$\implies 90-2\theta = \theta+6$

$\implies 90-6 = \theta + 2\theta$

$\implies 84 = 3\theta$

$\implies \frac{84}{3}=\theta$

$\implies 28=\theta$

Therefore,

$Value \: of \: \theta = 28$

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