Prove the following identities = sin2x cos2x

LHS We know that We know that a3 - b3 = (a - b) (a2 + b2+ ab)= sin2x cos2x= RHSHence proved.

Q14 of 118 Page 5

Prove the following identities
= sin²x cos²x

LHS

We know that

We know that a³ - b³ = (a - b) (a² + b²+ ab)

= sin²x cos^2x

= RHS

Hence proved.

Prove the following identities

sin²x cos²x

Prove the following identities

(1 + tan α tan β)² + (tan α – tan β)² = sec² α sec² β

Prove the following identities

cosx (tanx + 2) (2 tanx + 1) = 2 secx + 5 sinx