Question

Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

(i) sin 59° + cos 56°
(ii) tan 65° + cot 49°
(iii) sec 76° + cosec 52°
(iv) cos 78° + sec 78°
(v) cosec 54° + sin 72°
(vi) cot 85° + cos 75°
(vii) sin 67° + cos 75°

Answer 1

(i) We have and.So

Thus the desired expression is

(ii) We knowand.So

Thus the desired expression is

(iii) We know thatand.So

Thus the desired expression is

(iv) We knowand

Thus the desired expression is

(v) We know and.So

Thus the desired expression is

(vi) We know thatand.So

Thus the desired expression is

(vii) We know thatand.So

Thus the desired expression is