If cosec θ – cotθ =7, the value of cosecθ

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cosecθ – cotθ =	7	.......(i)
	2

cosec²θ – cot²θ = 1
⇒ (cosecθ + cotθ) (cosecθ – cotθ) = 1
⇒ cosecθ + cotθ

=		1	=	2	........(iii)
		cosecθ - cotθ		7

On adding both equations,

2 cosecθ =		7	+	2
		2		7

=		49 + 4	+	53
		14		14

⇒ cosecθ =	53
	28