Question

8 cosec^2a - 8 cot^2a=?

Answer 1

Answer:8 cosec^2A - 8cot^2A = 8

Step-by-step explanation:

8/sin^2A - 8cos^2A/sin^2A

(8 - 8 cos^2A)/sin^2A

8(1 - cos^2A)/sin^2A. [1cos^2A=sin^2A]

8 sin^2A/sin^2A

8

Answer 2

$8\csc^2 A-8\cot^2 A$ = 8

Step-by-step explanation:

We have,

$8\csc^2 A-8\cot^2 A$

To find, the value of $8\csc^2 A-8\cot^2 A$ = ?

∴ $8\csc^2 A-8\cot^2 A$

Taking 8 as a common, we get

= 8 $(\csc^2 A-\cot^2 A)$

Using the trigonometric identity,

$\csc^2 \theta-\cot^2 \theta$ = 1

= 8 (1)

= 8 × 1

= 8

∴ $8\csc^2 A-8\cot^2 A$ = 8