Prove the following trigonometric identities:
cos/cosecθ+1+cosθ/cosecθ-1=2tanθ
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, proved.
Step-by-step explanation:
To prove that:
.
L.H.S. =
To take LCM of denominator part, we get
=
Using the algebraic identity,
= (a + b)(a - b)
=
=
=
Using the trigonometric identity,
= 1
⇒
=
=
Using the trigonometric identity,
and
=
=
Using the trigonometric identity,
=
= R.H.S., proved.
∴ , proved.
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