Q18 of 48 Page 84

Prove the following with the help of identities:

sinθ (1 + tanθ) + cosθ(1 + cotθ) = cosecθ + secθ

Taking L.H.S we get,


sin θ (1 + ) + cos θ(1 + )


⇒


Taking L.C.M and using the identity sin2 θ + cos2 θ = 1.


⇒


⇒


⇒


⇒ sec θ + cosec θ


= R.H.S


Hence, proved.


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