Q27 of 48 Page 84

Prove the following with the help of identities:

Taking the L.H.S we get,


(cosec A – sin A)(sec A – cos A)

As cosecθ = 1/sinθ and secθ = 1/cosθ



⇒


As sin2θ + cos2 θ = 1


⇒


⇒ cos A.sin A

 It can be written as 

⇒

=

As cotθ = cosθ/sinθ and tanθ = sinθ/cosθ


⇒


= R.H.S


Hence, proved.

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