Question

prove that (sin^4tita- cos^4tita+1)cosec^2tita=2​

Answer 1

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Answer 2

Step-by-step explanation:

(sin⁴∅ - cos⁴∅+1)cosec²∅

=[(sin²∅+cos²∅)(sin²∅-cos²∅) +1] 1/sin²∅

................................................(a²-b²)

=[ (1)(sin²∅-(1-sin²∅) +1] 1/sin²∅

..................................................(cos²∅=1-sin²∅)

=[sin²∅-1+sin²∅+1]1/sin²∅

=2sin²∅×1/sin²∅

=2

=R.H.S