Question

if tan( theta+20) = cot theta , and 0 pls answer and help me...

Answer 1

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Answer 2

θ = 35°

GIVEN: tan( theta+20) = cot theta/  tan( θ+20) = cot θ
TO FIND Value of θ.
SOLUTION:

As we know,

tan( θ+20) = cot θ

To find, the value of theta.

Firstly, we solve the Left Hand Side.

tan( θ+20)                               ----Eq1

Secondly, we solve the Right Hand Side.

cot θ

tan( 90-θ)                                ----Eq2      [ using the complementary angles]

To solve further,

We solve Equation1 and Equation2 by comparing.

θ+20 = 90-θ

θ+θ = 90 - 20

2θ = 70

θ = 35°

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