In a , right angled at A, if tan C = , find the value of sin B cos C + cos B sin C.

If are acute angles such that cos A = cos B, then show that .

If are acute angles such that tan A = tan P, then show that .

State whether the following are true or false. Justify your answer.

(i) The value of tan A is always less than (ii) for some value of angle A.

(iii) cos A is the abbreviation used for the cosecant of angle A.

(iv) cot A is the product of cot and A.

(v) for some angle .

Evaluate each of the following: