Question

Prove that 2 cosec 20 tan 0 = sec² 0​

Answer 1

Solution

We use the following trigonometric identities:

sec

2

θ=tan

2

θ+1 and

cosec

2

θ=cot

2

θ+1

On adding these, we get:

sec

2

θ+cosec

2

θ=tan

2

θ+cot

2

θ+2

⇒sec

2

θ+cosec

2

θ=tan

2

θ+cot

2

θ+2tanθcotθ=(tanθ+cotθ)

2

⇒

sec

2

θ+cosec

2

θ

=tanθ+cotθ

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Answer 2

Answer:

I hope it clears your doubt.