Question

8 cosec^2A- 8cot^2A equal to

Answer 1

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Answer 2

We have:

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

We have to find, the value of 8$\csc^2 \theta$ - 8$\cot^2 \theta$ = ?

Solution:

∴ 8$\csc^2 \theta$ - 8$\cot^2 \theta$

Taking 8 as common, we get

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

Using the trigonometric identity,

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

= 8(1)

= 8 × 1

= 8

∴ The value of 8$\csc^2 \theta$ - 8$\cot^2 \theta$ = 8

Thus, the value of 8$\csc^2 \theta$ - 8$\cot^2 \theta$ is "equal to 8".