Express in terms of angles between 0° and 30°.

Evaluate the following:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii) cosec 31° - sec 59°

(viii)

(ix)

(x)

(xi)

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

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

If sin 3A = cos (A – 26°), where 3A is an acute angle, find the value of A.

If A, B, C, are the interior angles of a triangle ABC, prove that

(i)

(ii)