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Prove that tan4x=(4tanx(1-tan^2x))/(1-6t...

Prove that `tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)`

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A N EXCEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. prove the following (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

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  2. Prove that cotx cot2x -cot2xcot3x-cot3xcotx=1

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  3. Prove that tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)

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  4. Prove that 1-8sin^2Acos^2A=cos4A

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  5. Prove that cos6x=32cos^6x-48cos^4x+18cos^2x-1

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  6. Suppose that costheta=-1/2 and theta is in the 2nd quadrant.Fill in th...

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  7. Suppose that costheta=-1/2 and theta is in the 2nd quadrant prove tha...

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  8. Match the following:

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  9. Nikolas is asked to prove that cos^2 x+cos^4 x=1 if sinx+sin^2x=1 He p...

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  10. Given that three numbers a,b,c are in G.P.If b^2=ac Prove that cot^2 3...

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  11. Match the following:

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  12. Prove that sin105^@+cos105^@=cos45^@

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  13. Choose the correct answer from the bracket and fill in the blank sin(B...

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  14. Prove that cosAsin(B-C)+cosBsin(C-A)+cosCsin(A-B)=0

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  15. A wheel is rotated pi/2 radians. Convert the angle of rotation into de...

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  16. A wheel is rotated pi/2 radians. Convert the angle of rotation into de...

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  17. Evaluate the following tan((13pi)/3)

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  18. Given that sinx+siny=a and cosx+cosy=b rajan derived the value of tan(...

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  19. Prove that cotA-tanA=2cotA

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  20. using cotA-tanA=2cot2A deduce that tanalpha+tan2 alpha+4tan4alpha+8co...

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