Question

if tan A = cot (30 + A) then find the value of A ​

Answer 1

refer to the attachment

Answer 2

The value of A is 30.

Given,

A trigonometric equation tan A = cot (30 + A).

To Find,

The value of a.

Solution,

Using the formula

cot(90-θ) = tanθ

Now, the given trigonometric equation is

tan A = cot (30 + A)

Now, we can write tan A as cot(90-A)

So, the equation will become

cot(90-A) = cot (30 + A)

Now, taking cot inverse both sides

90-A = 30+A

Solving this equation to get the value of A.

2A = 60

A = 30

Hence, the value of A is 30.

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