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If pi/2<theta<pi , then write the value ...

If `pi/2

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The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

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]

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) (b) (pi/2,pi) (pi,(3pi)/2) (d) ((3pi)/2,2pi)

tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,forx in (-pi/2,(3pi)/2) pi/4-x/2,forx in (-pi/2,pi/2) pi/4-x/2,forx in (-pi/2,pi/2) pi/4-x/2,forx in (-(3pi)/2,pi/2)

Period of sin^2 theta is(A) pi^2 (B) pi (C) 2pi (D) pi/2

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If y=sin^(-1)(sinx) , -pi/2lt=xlt=pi/2 . Then, write the value of (dy)/(dx) for x in (-pi/2,pi/2) .

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. If pi/2 < theta < (3pi)/2 then write the value of sqrt((1+cos2theta)...

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  2. If pi/2<theta<pi,then write the value of sqrt(2+sqrt(2+2cos2theta)) in...

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  3. If pi/2<theta<pi , then write the value of sqrt((1-cos2theta)/(1+cos2t...

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  4. If pi<theta<(3pi)/2 , then write the value of sqrt((1-cos2theta)/(1+co...

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  5. Write the value of cos^2 76^@+cos^2 16^@- cos76^@ cos16^@

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  6. If (pi/4)< theta <(pi/2),then write the value of sqrt(1-sin2theta)

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  7. Prove that: cos(pi/7)cos(2pi/7)cos(4pi/7)=-1/8,

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  8. If sin x+cos x=a , find the value of sin^6x+cos^6xdot

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  9. If sin x+cos x=a , find the maximum and minimum value of a

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  10. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

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  11. Show that cos(pi/65)cos((2pi)/65)cos((4pi)/65)cos((8pi)/65)cos((16pi)/...

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  12. For all real values of x ,cotx-2cot2x is equal to a.tan2x b. t a n x c...

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  13. The value of 2tanpi/(10)+3secpi/(10)-\ 4cospi/(10) is 0 b. 1 c. sqrt(5...

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  14. If in a Delta ABC, tanA+tanB+tanC=6 then cotA cotB cot C= a.6, b. 1, c...

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  15. If sin alpha+sin beta=a\ a n d\ cosalpha-cosbeta=b , then tan(alpha-be...

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  16. The value of t a nthetasin(pi/2+theta)cos(pi/2-theta) is -1 b. 1 c. ...

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  17. Prove that: sin^2pi/(18)+sin^2pi/9+sin^2(7pi)/(18)+sin^2(4pi)/9=2

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  18. If A=2sin^2theta-cos2theta, t h e n A lies in the interval (a)[-1,3] ...

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  19. The value of cos^2(pi/6+theta)-sin ^2\ (pi/6-theta) is (a)dot 1/2cos\...

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  20. The value of (cos3theta)/(2cos2theta-1) is equal to (a) costheta (b) ...

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