Prove the following identitiestan2 φ – sin2 φ – tan2 φ . sin2 φ = 0

Taking LHS = tan2 φ – sin2 φ – tan2 φ sin2 φ [∵ cos2 φ + sin2 φ = 1]= 0=RHSHence Proved

Q31 of 268 Page 5

Prove the following identities
tan² φ – sin² φ – tan² φ . sin² φ = 0

Taking LHS = tan² φ – sin² φ – tan² φ sin² φ

[∵ cos² φ + sin² φ = 1]

= 0

=RHS

Hence Proved

Prove the following identities

cot²θ – cos²θ = cot²θ . cos²θ

Prove the following identities

tan² φ + cot² φ + 2 = sec²ϕ. cosec²ϕ

Prove the following identities