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

A solution of the equation cos^2theta+sintheta+1=0 lies in the interval a. (-pi//4,pi//4) b. (pi//4,3pi//4) c. (3pi//4,5pi//4) d. (5pi//4,7pi//4)

In which of the following intervals the inequality, sinx < cos x < tanx < cot x can hold good ? (a) ((7pi)/4,2pi) (b) ((3pi)/4,pi) (c) ((5pi)/4,(3pi)/2) (d) (0,(pi)/4)

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

Plot the poitns whose coordinate are given below. (i) (2,3pi) (ii) (2,-2pi//3) (iii) (-3,3pi//4) .

Which of the following is true? (a) pi/3>tan^(-1)pi/3 (b) pi/3 cos^(-1)pi/4'

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

Which of the following can be the angular momentum of an electron orbiting in a hydrogen atom ? ltbr. (a) "4h"/pi , (b) "3h"/(2pi) , (c ) "3h"/(4pi) , (d) h/pi

Which of the following can be the angular momentum of an electron orbiting in a hydrogen atom ? (a) "4h"/pi , (b) "3h"/(2pi) , (c ) "3h"/(4pi) , (d) h/pi

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

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9