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Prove that: 15sin(5pi)/(12)+15cos(5pi)/(...

Prove that: `15sin(5pi)/(12)+15cos(5pi)/(12)-20sin^3(5pi)/(12)-20cos(5pi)/(12)=0`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. If acos2theta+bsin2theta= c, alpha and beta as its roots , then prove ...

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  2. If cosalpha+cosbeta=0=s inalpha+s inbeta, then prove that cos2alpha+co...

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  3. Prove that: 15sin(5pi)/(12)+15cos(5pi)/(12)-20sin^3(5pi)/(12)-20cos(5p...

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  4. Prove that: sin(pi/5)sin( (2pi)/5)sin(3pi/5)sin(4pi/5)=5/(16)

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  5. Find general solution of the trigonometric equation sin5theta =1

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  6. Prove that: sin^4(pi/8)+sin^4((3pi)/8)+sin^4((5pi)/8)+sin^4((7pi)/8)=...

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  7. Prove that: cos^4pi/8+cos^4(3pi)/8+cos^4(5pi)/8+cos^4(7pi)/8=3/2

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  8. Prove that:tan6^0tan42^0tan66^0tan78^0=1.

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  9. If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a)tan3alpha=tan2beta (b) ...

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  10. Prove that: sin36^0=(sqrt(10-2sqrt(5)))/4 .

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

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  12. The value of cos^4theta+sin^4theta-6cos^2theta is (a) cos2theta (b) s...

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  13. Prove that: sin(pi/10)+sin((13pi)/10)=-1/2

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  14. If tan(pi//4+theta)+""tan(pi//4-theta)=lambdasec2theta,t h e nlambda= ...

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  15. Prove that: (1+cos4x)/(cot x-tanx)=1/2sin4x

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  16. Prove that: (cos7x-cos8x)/(1+2cos5x)=cos2x-cos3x

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  17. To prove (cos5x+cos4x)/(1-2cos3x)=-cos2x-cosx

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  18. If tantheta= t, then tan2theta+sec2theta is equal to (a) (1+t)...

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  19. Prove that: "cot"pi/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

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  20. (sec8A-1)/(sec4A-1) is equal to (A) (tan2A)/(tan8A) (B) (tan8A)/(t...

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