Consider L.H.S. = Multiply numerator and denominator by (1 + sin θ):= = = = = [(1/cos θ) + (sin θ/cos θ)]2= (sec θ + tan θ)2= R.H.S.Hence, proved.

Q16 of 186 Page 359

Prove that .

Consider L.H.S. =

Multiply numerator and denominator by (1 + sin θ):

= [(1/cos θ) + (sin θ/cos θ)]²

= (sec θ + tan θ)²

= R.H.S.

Hence, proved.

Prove that (sin 32° cos 58° + cos 32° sin 58°) = 1.

If x = a sin θ + b cos θ and y = a cos θ – b sin θ, prove that x² + y² = a² + b².

Prove that .