Q5 of 268 Page 4

If sin 52^o=a, then express sin 38^o in terms of a.

Given sin 52° = a

We know that sin θ = cos (90° - θ)

Here, θ = 52°

⇒ cos (90° - 52°) = a

⇒ cos 38° = a

If sin 37^o=a, then express cos 53^o in terms of a.

If cos 47^o=a, then express sin 43^o in terms of a.

If sin 56^o=x, then express sin 34^o in terms of x.

Find the value of

(i) (ii)

(iii) (iv)

(v) (vi)

(vii) (viii)

(ix) sin 54° – cos 36° (x)

(xi) cosec 31° – sec 59° (xii)

(xiii)

If sin 52o=a, then express sin 38o in terms of a.