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The minimum value of the expression sin...

The minimum value of the expression `sin alpha + sin beta+ sin gamma`, where `alpha,beta,gamma` are real numbers satisfying `alpha+beta+gamma=pi` is

A

positive

B

zero

C

negative

D

`-3`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The value of the expression

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  2. If x=cos^2theta+sin^4theta then for all real values of theta

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  3. The minimum value of the expression sin alpha + sin beta+ sin gamma, ...

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  4. Which of the following statement is incorrect

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  5. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

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  6. If sintheta+"cosec"theta=2, then sin^(2)theta+"cosec"^(2)theta is equa...

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  7. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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