Question

2sec^2 theta - sec^4 theta - 2cosec^2 theta + cosec^4 theta = 1- tan^8 theta ÷ tan^4 theta

Dont send use less ans pls it is utgent​

Answer 1

Step-by-step explanation:

ANSWER

LHS :

2sec

2

θ−sec

4

θ−2cosec

2

θ+cosec

4

θ

=(cosec

4

θ−2cosec

2

θ)−(sec

4

θ−2sec

2

θ)

=(cosec

4

θ−2cosec

2

θ+1)−(sec

4

θ−2sec

2

θ+1)

=(cosec

2

θ−1)

2

−(sec

2

θ−1)

2

=cot

4

θ−tan

4

θ

= RHS