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Write the maximum value of 12 s intheta-...

Write the maximum value of `12 s intheta-9sin^2\ \ thetadot`

A

3

B

4

C

5

D

2

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

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  2. cos^12 x+3cos^(10)x+3cos^8x+cos^6x-2

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  3. Write the maximum value of 12 s intheta-9sin^2\ \ thetadot

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  4. If f(x) = cos^2 x + sec^2 x, its value always is

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  5. The maximum value of 3 cos x+4sinx+5, is

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  6. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

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  7. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

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  8. The maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

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  9. If A +B+C= pi and m/C is obtuse then tan A. tan B is

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  10. If 0 < theta < 2pi, then the intervals of values of ? for which 2si...

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  11. If tantheta=x-1/(4x), then sectheta-tantheta is equal to

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  12. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

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  13. If piltthetalt 2pi, then sqrt((1+costheta)/(1-costheta)) is equal to

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  14. If theta lies in the second quadrant, then the value sqrt(((1-sinth...

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  15. sin^2 theta =(x+y)^2/(4xy) where x,yinR gives theta if and only if

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  16. sec theta=(a^(2)+b^(2))/(a^(2)-b^(2)), where a, binR, gives real balue...

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  17. If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))...

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  18. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

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  19. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

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  20. The value of the expression 3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(s...

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