Express the trigonometric ratios sin A, sec A and tan A in terms of cot A

Write all the other trigonometric ratios of ∠ A in terms of sec A

Evaluate:

(i)

(ii) Sin 25° Cos 65° + Cos 25° Sin 65°

Choose the correct option. Justify your choice.

Choose the correct option. Justify your choice.

Choose the correct option. Justify your choice.

(Sec A + tan A) (1 – sin A) =

Choose the correct option. Justify your choice.

Prove the following identities, where the angles involved are acute angles for which the expressions are defined.

(i)

(ii)

(iii)

(iv)

(v) using the identity

(vi)

(vii)

(viii)

(ix) [Hint: Simplify LHS and RHS separately]

(x)