cosecant 5

∫ 35(cosec 5 x ) d x = => (ln ( cos 5 x cos 5 x + 1 ) ) + C or 7 2 (ln ( cos 5 x + 1 cos 5 x - 1 ) ) + C or (ln ( cos h..

If f ( l ) = 5tan (cosec 7 l ), then find f ′( l ). => - 35 sec 7 l tan 7 l sec 2 (cosec 7 l ) or - 35 cosec 7 l cot 7 l sec 2 (cosec 7 l ) or - 35 sec 2 (cosec 7l) or 35 sec 7 l tan 7 l sec 2 (cosec 7 l ) or 35 cosech..

If g ( x ) = (4 x 2 + 5 x )cosec 6 x , then find g ′ ( x ). => (8 x + 5)(cosec 6 x ) + (24 x 2 + 30)(cosec 6 x )(cot 6 x ) or (30)(cosec 6 x )(cot 6 x ) or - (8 x + 5)(cosec 6 x ) - (24 x 2 + 30)(cosec 6..

If y = ln cot 5 x , then find d y d x . => ln(- 5cosec 2 5 x ) or tan 5 x or - 5cosec 5 x sec 5 x or 5cosec 5 x cot 5 x..

Find the derivative of e 9x cot 5 x with respect to x . => 5cosec 2 5 x ) or e 9 x (cot 5 x - cosec 2 5 x ) or e 9 x (9cot 5 x + 5cosec 2 5 x ) or e 9 x (9cot 5 x - 5..

Evaluate: ∫ cos e c ( 8 - 5 y ) 5 tan ( 8 - 5 y ) dy => - 1 5 cosec (8 - 5 y ) + C or 1 25 cosec (8 - 5 y ) + C or 1 75 cosec 3 (8 - 5 y ) + C or - 1 40 cosec (8 - 5 y ) + C o..

Differentiate the following function using product rule. y = (3 sec x - 4 cosec x) (2 sin x + 5 cos..

Evaluate ∫ 3 cos 3 4 x - 4 sin 3 4 x 5 sin 2 4 x cos 2 4 x d x . => 3 20 cosec 4 x + 1 5 sec 4 x + C or 3 20 cosec 4 x - 1 5 sec 4 x + C or - 3 20 cosec 4 x - 1 5 sec 4 x + C or..

∫ cos 3 8 x + cos 5 8 x sin 2 8 x + sin 4 8 x d x = => 1 8 (sin 8 x - 2cosec 8 x ) + C or 1 8 (sin 8 x - 2cosec 8 x - 6tan -1 (sin 8 x )) + C o..

The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. 1. cos q = x. 2. sin q = y. 3. tan q = y/x. 4. sec q = 1/x. 5. cosec q = 1/y. 6. cot q = x/y. The six functions of q defined by the above eq..