Prove the following identitiescot2θ – cos2θ = cot2θ . cos2θ

Taking LHS = cot2 θ – cos2 θ [∵ cos2 θ + sin2 θ = 1]= cot2 θ cos2 θ =RHSHence Proved

Q30 of 268 Page 5

Prove the following identities
cot²θ – cos²θ = cot²θ . cos²θ

Taking LHS = cot² θ – cos² θ

[∵ cos² θ + sin² θ = 1]

= cot² θ cos² θ

=RHS

Hence Proved

Prove the following identities

tan² φ – sin² φ – tan² φ . sin² φ = 0

Prove the following identities

tan² φ + cot² φ + 2 = sec²ϕ. cosec²ϕ