If `2sec^2A-sec^4A-2cos e c^2A+cos e c^4A=(15)/4,t h e n` tan A is equal `1//sqrt(2)` (b) `1/2` (c) `1/2sqrt(2)` (d) `-1/(sqrt(2))`

cos^(-1)((1)/(sqrt(2)))+sec^(-1)(-sqrt(2))

sec^(2)cot^(-1)((1)/(sqrt(3)))+tan^(2)cos ec^(-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

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) cosalpha+cosbeta+cosgamma is equal to (A) (sqrt(2)-1)/2 (B) (sqrt(2)+1)/2 (C) (sqrt(2)+sqrt(3))/2 (D) ((sqrt(3)-sqrt(2))/2

The value of (lim)_(x->0)(sqrt(2)-sqrt(1+cos x))/(sin^2x) is 1/(2sqrt(2)) b. 1/(8sqrt(2)) c. 1/(4sqrt(2))\ d. -1/(4sqrt(2))

sin(67 1/2)^(@) + cos( 67 1/2)^(@) is equal to A) 1/2sqrt(4+2sqrt(2)) , B) 1/2sqrt(4-2sqrt(2)) , C) 1/4(sqrt(4+2sqrt(2))) , D) 1/4(sqrt(4-2sqrt(2)))

Lim_(x->0) (e^(x)-1)/(sqrt(4+x)-2)= (A) 2 (B) 4] (C) -2 (D) (1)/(2)

If int_(-pi)^((3 pi)/(4))((e^((pi)/(4))dx)/((e^(x)+e^((pi)/(4)))(sin x+cos x))=k int_(-(pi)/(2))^((pi)/(2))sec xdx,thenthevalueofkis(1)/(2)(b)(1)/(sqrt(2))(c)(1)/(2sqrt(2))(d)-(1)/(sqrt(2))

tan(cos^(-1)x) is equal to (x)/(1+x^(2)) b.(sqrt(1+x^(2)))/(x) c.(sqrt(1-x^(2)))/(x) d.sqrt(1-2x)

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