Q. 1. If sin A = ¾ . Find cos A and tan A.
Q. 2. In triangle ABC, right angle At B. if tan A = 1/√3 find the values of the following
sin A cos C + cos A sin C
cos A cos C – sin A sin C
Q. 3. If tan (A+B) = √3 and tan (A – B) = 1/√3. Find the value of A and B.
Q. 4. If tan 2A = cot (A – 180), where 2A is an acute angle. Find the value of A.
Q. 5. If A,B and C are interior angles of the triangle ABC, then show that
Sin {(B+C)/2} = cos A/2
Q. 6. prove the following identity
(cosec A – cot A) = (1- cos A) /(1+ cos A)
Q. 7. (sin A + cosecA) 2 + (cos A + sec A) 2 = 7 + tan 2A + cot 2A .prove it.
Q. 8. (cosec A – sin A ) ( sec A – cos A) = 1/ ( tan A + cot A)
Q. 9. prove that 
Q. 10. Express the ratios cos A, tan A and sec A in the terms of sin A.
