Q5 of 118 Page 5

Prove the following identities

LHS

We know that

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

We know that sin²x + cos²x = 1.

= sinx

= RHS

Hence proved.

Prove the following identities

(cosecx – sinx) (secx – cosx) (tanx + cotx) = 1

Prove the following identities

cosecx (secx – 1) – cotx (1 – cosx) = tanx – sinx

Prove the following identities

= (secx cosecx + 1)

Prove the following identities