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If t a nalpha=x+1,tanbeta=x-1, show that...

If `t a nalpha=x+1,tanbeta=x-1,` show that `2cot(alpha-beta)=x^2dot`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)...

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  2. If sin alpha sin beta-cosalphacosbeta+1=0, then prove that 1+cotalphat...

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  3. If t a nalpha=x+1,tanbeta=x-1, show that 2cot(alpha-beta)=x^2dot

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

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

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

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

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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 each of the following trigon...

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

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

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

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

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

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

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

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

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

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  19. Write the maximum value of 12sinθ.

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

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