Question

Find the value of tan2 θ (cosec2 θ – 1)

Answer 1

Answer:

Step-by-step explanation:

cosec²∅-1)*(tan²∅)

(cot²∅)*(tan²∅)

(cos²∅/sin²∅)*(sin²∅/cos²∅)

=cos²∅sin²∅/sin²∅cos²∅

⇒=1

Answer 2

Answer:

we know that ,

1+tan

2

θ=sec

2

θ

1+cot

2

θ=cosec

2

θ

Now, cos

2

θ(1+tan

2

θ)+sin

2

θ(1+cot

2

θ)=cos

2

θsec

2

θ+sin

2

θcosec

2

θ=1+1=2

Therefore, Answer is 2