The value of `cot70^0+4cos70^0` is (a)`1/(sqrt(3))` (b) `sqrt(3)` (c) `2sqrt(3)` (d) `1/2`

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))

If tan15^@=2-sqrt3 , then the value of cot^2""75^@ (a) 7+sqrt3 (b) 7-2sqrt3 (c) 7-4sqrt3 (d) 7+4sqrt3

4sin^(3)75^(0)-3cos15^(0)= (1)/(2) (1)/(sqrt(2)) (1)/(sqrt(3)) sqrt(3)

The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3)))))) is

The value of cos48cos12 (A) (sqrt(5)+3)/(8) (B) (3-sqrt(5))/(2) (C) (sqrt(5)+1)/(4) (D) (sqrt(5)-1)/(4)

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)

Given b=2,c=sqrt(3),/_A=30^(0), then inradius of o+ABC is (sqrt(3)-1)/(2) (b) (sqrt(3)+1)/(2) (c) (sqrt(3)-1)/(4) (d) none of these

The value of tan{cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/(sqrt(17))} is (sqrt(29))/(3)( b) (29)/(3)(c)(sqrt(3))/(29) (d) (3)/(29)]}

The rationalisation factor of sqrt(3) is -sqrt(3) (b) (1)/(sqrt(3))(c)2sqrt(3)(d)-2sqrt(3)

The value of cos1^(0)cos2^(0)cos3^(0)cos179^(@) is 1/sqrt(2) b.0 c.1 d.-1