Question

Find the value of tan theta - cot (90-theta)​

Answer 1

Answer:

tan theta - cot (90-theta)

is zero

Answer 2

tan θ - cot ( 90° - θ ) = 0

Given :

The expression tan θ - cot ( 90° - θ )

To find :

Simplify the given expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

tan θ - cot ( 90° - θ )

Step 2 of 2 :

Simplify the given expression

We are aware of the Trigonometric identity that

cot ( 90° - θ ) = tan θ

Thus we get

tan θ - cot ( 90° - θ )

= tan θ - tan θ

= 0

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