How can you solve $csc^4 x − co^t4 x = csc^2 x + cot^2 x$ ?

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Answer 1 · 2017-06-28T07:17:06

Please see below.

Let us use the identity $a^2-b^2=(a-b)(a_b)$

$csc^4x-cot^4x$

= $(csc^2x)^2-(cot^2x)^2$

= $(csc^2x-cot^2x)(csc^2x+cot^2x)$

= $1xx(csc^2x+cot^2x)$ - as $csc^2x=1+cot^2x$

= $csc^2x+cot^2x$

How can you solve csc^4 x − co^t4 x = csc^2 x + cot^2 xcsc^4 x − co^t4 x = csc^2 x + cot^2 x ?