Q16 of 118 Page 5

Prove the following identities
cosx (tanx + 2) (2 tanx + 1) = 2 secx + 5 sinx

LHS = cosx (tanx + 2) (2 tanx + 1)

= cosx (2 tan²x + 5 tanx + 2)

We know that

= 2 secx + 5 sinx

= RHS

Hence proved.

Prove the following identities

= sin²x cos²x

Prove the following identities

If then prove that is also equal to a.

If find the values of tanx, secx and cosecx

Prove the following identitiescosx (tanx + 2) (2 tanx + 1) = 2 secx + 5 sinx