Q14 of 29 Page 8

If a sin θ +b cos θ =c, then prove that, a cos θ -b sin θ = [CBSE 2006]

Given: a sin θ +b cos θ = c

Squaring the above equation,



⇒ a2sin2 θ +b2 cos2 θ + 2ab sin θ cos θ = c^2











Hence, proved.

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