Find the value of `cot( (25 pi^c )/3 )`
( a ) `1/2`
( b ) `sqrt(3)/2`
( c ) `1/sqrt(3)`
( d ) `sqrt(3)`

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)

Three circles of radius 1 cm are circumscribed by a circle of radius r, as shown in the figure. Find the value of r? (a) sqrt(3) + 1 (b) (2+sqrt(3))/(sqrt(3)) (c) (sqrt(3) + 2)/(sqrt(2)) (d) 2 + sqrt(3)

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))

Let f:(-1,1)vec R be such that f(cos4 theta)=(2)/(2-sec^(2)theta) for theta in(0,(pi)/(4))uu((pi)/(4),(pi)/(2))* Then the value(s) of f((1)/(3)) is (are) (a)1-sqrt((3)/(2))( b) 1+sqrt((3)/(2))(c)1-sqrt((2)/(3))(d)1+sqrt((2)/(3))(b)1+sqrt((3)/(2))(c)

The value of cot70^(@)+4cos70^(@) is (a) (1)/(sqrt(3)) (b) sqrt(3)(c)2sqrt(3)(d)(1)/(2)

The value of cot ((pi)/(2) - 2 cot^(-1) sqrt3) is :

Let A=[[cos theta,-sin theta],[sin theta,cos theta]] Find the value of A^(-50) at theta=(pi)/2 (A) [[-(sqrt(3))/(2),-(1)/(2)],[-(1)/(2),(sqrt(3))/(2)]] (B) [[(sqrt(3))/(2),(1)/(2)],[(-1)/(2),(sqrt(3))/(2)]] (C) [[-(sqrt(3))/(2),(1)/(2)],[(1)/(2),(sqrt(3))/(2)]] (D) [[(1)/(2),(sqrt(3))/(2)],[(sqrt(3))/(2),(-1)/(2)]]

When theta=(17 pi)/(3), then the value of (tan theta-cot theta) is: ( a )(2)/(sqrt(3))(2)-(2)/(sqrt(3))(3)(1)/(2sqrt(3)) (d) None

What is the value of cot45^@ + frac(1)(3) cosec60^@ ? (A) sqrt3 + 2 (B) frac(9 + 2sqrt3)(9) (C) sqrt3 (D) frac(2sqrt2 +3) (sqrt6)

Find the value of tan^(-1)sqrt(3)+sec^(-1)2 (A). (2 pi)/(3) (B). (pi)/(2) (C). (pi)/(3) (D) pi