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Prove that 5costheta+3cos(theta+pi/3)+3 ...

Prove that `5costheta+3cos(theta+pi/3)+3` lies between `-4a n d10.`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If t a nalpha=x+1,tanbeta=x-1, show that 2cot(alpha-beta)=x^2dot

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  2. Find the maximum and minimum values of 7\ costheta+24\ sintheta

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  3. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

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  4. Reduce sqrt(3)sintheta+costheta as a single term consisting sine only

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  5. Express: 3costheta-4sintheta\ as c o s i n e of a single expression...

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  6. Find the maximum and minimum values of each of the following trigono...

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  7. Find the maximum and minimum values of each of the following trigon...

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  8. Find the maximum and minimum values of each of the following trigono...

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  9. Find the maximum and minimum values of the trigonometrical expressi...

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  10. Reduce the expression to the sine or cosine of a single expression:...

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  11. Reduce the expression to the sine and cosine of a single expression:...

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  12. Reduce each of the following expressions to the sine and cosine of a ...

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  13. . Show that sin100^@- sin 10^@ is positive

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  14. If alpha+beta-gamma=pi and sin^2alpha+sin^2beta-sin^2gamma=lambda sina...

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  15. If x\ costheta=y cos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , then write ...

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  16. Write the maximum and minimum values of 3cos x+4sin x+5.

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  17. Write the maximum value of 12sinθ.

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  18. If 12 sintheta-9sin^2theta attains its maximum value at theta=alpha , ...

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  19. Write the interval in which the values of 5costheta+3cos(theta+pi/3)+3...

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  20. If tan(A+B)=p\ a n dtan(A-B)=q then write the value of tan2Bdot

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