Evaluate :

`Cosec( (-33pi) /4 )`

( a ) `-sqrt2`
( b ) `sqrt2 `
( c )` 1/sqrt2`
( d ) `-1/sqrt2`

Evaluate : Find the value of sqrt( 3 + sqrt(5)) a ) sqrt(3)/2 + 1/sqrt(2) b ) sqrt(3)/2 - 1/2 c ) sqrt(5)/2 - 1/sqrt(2) d ) sqrt(5)/sqrt(2) + 1/sqrt(2)

If tan(pi.costheta)=cot(pi.sintheta), then: cos((pi)/(4)-theta)=..... (a) 1/2 (b) 1/sqrt2 (c) 1/(2sqrt2) (d) sqrt2/2

(sqrt8)^(1/3) = ? (a) 2 (b) 4 (c) sqrt2 (d) 2sqrt2

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

Prove that sin ((23pi)/24) = sqrt((2 sqrt2 - sqrt3 -1)/(4 sqrt2))

If (dy)/(dx) +y sec x=tan x," then (sqrt(2) +1) y((pi)/(4)) - y(0)=, (A) sqrt(2) - (pi)/(4) (B) sqrt(2) + (pi)/(4) (C) sqrt(2) - (pi)/(2) (D) sqrt(2) + (pi)/(2)

(sqrt2-1)/(sqrt2+1)times(sqrt2-1)/(sqrt2-1)=?

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3