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

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

If sin2 theta=cos3 theta and theta is an acute angle,then sin theta equal (a) (sqrt(5)-1)/(4) (b) -((sqrt(5)-1)/(4))( c) (sqrt(5)+1)/(4) (d) (-sqrt(5)-1)/(4)

The lengths of the sides of a right triangle given by a (A) (1+sqrt(5))/(4), (B) (1+sqrt(5))/(2) (C) 1+sqrt(5), (D) (1-sqrt(5))/(2)

Which of the following is the value of sin27^(0)-cos27^(0)?( a) -(sqrt(3-sqrt(5)))/(2) (b) (sqrt(5-sqrt(5)))/(2)(c)-(sqrt(5)-1)/(2sqrt(2)) (d) none of these

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

Find ( sqrt(5) + 1 )/( sqrt(5 ) - 1) = ( A ) ( 3 + sqrt(5) )/2 ( A ) ( 3 - sqrt(5) )/2 ( A ) ( 3 + sqrt(5) )/4 ( A ) ( 3 - sqrt(5) )/4

3sqrt(48)-(5)/(2)sqrt((1)/(3))+4sqrt(3)

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

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 value of cos^(-1)[cot(sin^(-1)(sqrt((2-sqrt(3))/(4)))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))