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[" (ii) If "(3 pi)/(4)<theta<pi," prove ...

[" (ii) If "(3 pi)/(4)

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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)

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)

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)}

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)

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

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 (4 theta) + sin (7 theta) = 0 are (1) (2 pi) / (9), (i) / (4 ), (4 pi) / (9), (pi) / (2), (3 pi) / (4), (8 pi) / (9) (2) (pi) / (4), (5 pi ) / (12), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9) (3) (2 pi) / (9 pi) ), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (35 pi) / (36) (4) (2 pi ) / (9), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9)

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

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)

sin {cos ((cos ^ (- 1) (3 pi)) / (4))}