If a sin θ +b cos θ =c, then prove that, a cos θ -b sin θ = An algebraic expression representing the square root of (a squared + b squared - c squared).

Given: a sin θ +b cos θ = cSquaring the above equation,⇒ a2sin2 θ +b2 cos2 θ + 2ab sin θ cos θ = c^2Hence, proved.

Q11 of 120 Page 99

If a sin θ +b cos θ =c, then prove that, a cos θ -b sin θ =

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.

If sin θ +cos θ =p and sec θ +cosec θ =q, then prove that q(p² - 1)=2p.

If a sin θ +b cos θ =c, then prove that, a cos θ -b sin θ =

Prove that =

Questions · 120

8. Introduction to Trigonometry and Its Applications

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