Question

(sec²θ − 1) (1 − cosec²θ) =
0
1
2
​

Answer 1

Answer:

Step-by-step explanation:

(sec²θ − 1) (1 − cosec²θ)

we know that :  sec²Θ - tan²Θ = 1

: sec²Θ - 1 =  tan²Θ

we know that :   cosec²Θ - cot²Θ = 1

: 1 − cosec²θ = - cot²θ

we know that cot²θ  = 1/tan²Θ

so:  - cot²θ  = -1/tan²Θ

(tan²Θ) (  - cot²θ ) = tanΘ x  tanΘ  x -1/tanΘ x -1/tanΘ

-1 x -1 = 1

SO : (sec²θ − 1) (1 − cosec²θ) = 1