If `(3pi)/4 < alpha < pi` then the set of values of `alpha` for which `(sin alpha) x^2 + (2 cos alpha) x + 1/2(sin alpha + cos alpha)` is a square of a linear polynomial is

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}

Write whether The principal value of "tan"^(-1) ("tan" (3pi)/4) is (3pi)/4 statements are true or false.

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)

Draw the graph of y= sqrt(2) sin (x+ (pi)/(4)) for the values of x= 0 , (pi)/(4) , (pi)/(2) ,(3pi)/(4) in [(pi)/(4) ,(3pi)/(4)] and find the maximum value of y.

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

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

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

Simplify: tan(pi/4 + theta) tan ((3pi)/4 + theta)

Show that :(i) sin^(-1) [ sin. (3pi)/4] != (3pi)/4 (ii) tan^(-1) [ tan. (5pi)/6] != (5pi)/6 . What is its value ?

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