Introduction to Trigonometry Mathematics


Que. 1. Express the trigonometric ratios sin A, sec A, and tan A in terms of cot A.

Que. 2. Express all the other trigonometric ratios of angle A in terms of sec A.


Que 3. State the correct solution and verify it.
9 sec²A – 9 tan²A is equal to…
9 sec2A – 9 tan2A
9 (sec2A – tan2A)
[tan2 A + 1 = sec2 A]
9 (tan2 A + 1 – tan2 A )
9 (1) = 9

3. (sec A + tan A) (1 – sin A) is equal to:


Que. 4. Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

LHS = RHS













L.H.S. = M.H.S. = R.H.S.

