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Prove that :t a n A+tan(60^0+A)+tan(120^...

Prove that :`t a n A+tan(60^0+A)+tan(120^0+A)=3t a n3A`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. Prove that: sin 12^0sin 48^0sin 54^0=1/8dot

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  2. Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

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  3. Prove that :t a n A+tan(60^0+A)+tan(120^0+A)=3t a n3A

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  4. sin (67(1)/2)^(@)+cos(67(1)/2)^(@) is equal to

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  5. The value of sin 78^0-sin 66^0-sin 42^0+sin6^0 is -1 b. 1//2 c. -1//2 ...

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  6. In any triangle A B C ,\ sin A-cos B=cos C ,\ the angle\ B is a.pi...

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  7. If A+B+C=(3pi)/2 , then cos2A+cos2B+cos2C is equal to a.1-4cos Acos...

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  8. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4 and 10.

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  9. The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real value...

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  10. Prove that t a n A+2t a n2A+4t a n4A+8cot8A=cot Adot

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  11. sum(r=1)^(n-1)cos^2((rpi)/n)

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  12. Prove that: (1+sec2theta)(1+sec4theta)(1+sec8theta)(1+sec2^ntheta)=t a...

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  13. To find sum of tangents of a series of angles, the angles being in Ari...

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  14. S=cosecx+cosec 2x+cosec 4x+…+cosec 2nx=cot(x/2)−cot2nx

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  15. The expression (tan(x-pi/2)cos((3pi)/2+x)-sin^3((7pi)/2-x))/(cos(x-pi/...

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  16. The values of cos^2 73^0+cos^2 47^0-sin^2 43^0+sin^2 107^0 is equal t...

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  17. The expression (sin 22^0cos8^0+cos 158^0cos98^0)/(sin 23^0cos7^0+cos 1...

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  18. The two legs of a right triangle are sin theta +sin ((3pi)/2-theta) an...

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  19. If tantheta=sqrt(a/b)where a , b are positive reals then the value o...

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  20. The expression (sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-...

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