`(pi)/(4)-(3 pi)/(4)-(pi)/(6)+(pi)/(4)=`

(pi)/(4)+(2 pi)/(3)-(pi)/(6)

Which one of the following triplets CANNOT be the angles made by a line in space with the three coordinate axes? a.((pi)/(4),(3 pi)/(4),(pi)/(2)) b.((pi)/(4),(pi)/(3),(2 pi)/(3)) c.((pi)/(3),(3 pi)/(4),(pi)/(3))d((pi)/(4),(pi)/(3),(pi)/(4))

(pi)/(4)+(pi)/(3)+(pi)/(6)

((pi)/(4))+((2 pi)/(3))-((pi)/(6))

If 4cos^(2)theta=3 then theta =---- 1) (pi)/(6),(5 pi)/(6) 2) (pi)/(4),(3 pi)/(4) 3) (pi)/(3),(2 pi)/(3) 4) +-(pi)/(2)

f(x)=min(sin x,cos x),x in(-pi,pi) the values of x where f(x) is non differentiable,is the set A. Then A is subset of (A) {(-3 pi)/(4),(-pi)/(4),(3 pi)/(4)}(B){(-pi)/(4),(pi)/(4),(3 pi)/(3)}(C){(-3 pi)/(4),(3 pi)/(4)}(D){(-3 pi)/(4),(pi)/(4),(pi)/(4),(3 pi)/(4)}

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (1)((pi)/(4),(pi)/(2))(2)(-(pi)/(2),(pi)/(4))(3)(0,(pi)/(2))(4)(-(pi)/(2),(pi)/(2))^(((pi)/(4)),(pi)/(2))^(((pi)/(4)))(2)

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

For 0 cos^(-1)(sin theta) is true when theta belongs to (a) ((pi)/(4),pi)(b)(pi,(3 pi)/(2))(c)((pi)/(4),(3 pi)/(4)) (d) ((3 pi)/(4),2 pi)

Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a) ((pi)/(4),(3 pi)/(4))( b) [(pi)/(4),(3 pi)/(4)]( c) {(pi)/(4),(3 pi)/(4)}(d) none of these