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Prove that: ("cos"8Acos5A-cos12 Acos9A)/...

Prove that: `("cos"8Acos5A-cos12 Acos9A)/("sin"8Acos5A+cos12 Asin9A)=tan4A`

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RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If sintheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

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  2. Prove that: (sin(A-C)+2sinA+sin(A+C)) / ("sin"("B"-"C")+2sinB+"sin"(B+...

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  3. Prove that: ("cos"8Acos5A-cos12 Acos9A)/("sin"8Acos5A+cos12 Asin9A)=ta...

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  4. Prove that: (sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A

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  5. Prove that: 1+cos2x+cos4x+cos6x=4cosxcos2xcos3x

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  6. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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  7. Express each of the following as a product: (i) sin4theta+sin2theta ...

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  8. If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m) , prove that tan(...

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  9. If sintheta+sinphi=sqrt3(cosphi-costheta)) , prove that sin3theta+sin...

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  10. Convert each of the following products into the sum or difference of ...

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  11. Convert each of the following products into the sum or difference of ...

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  12. Convert each of the following products into the sum or difference of ...

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  13. Convert each of the following products into the sum or difference of ...

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  14. Convert each of the following products into the sum or difference of ...

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  15. 2cos(pi/13)cos(9pi/13)+cos(3pi/13)+cos(5pi/13)=0

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  16. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

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  17. Prove that: cos Acos(60^0-A)cos(60^0+A)=1/4cos3A

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  18. Prove that 4sinthetasin(pi/3+theta)sin((2pi)/3+theta)=sin3theta

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  19. Express each of the following as the sum or difference of sines and ...

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  20. Express each of the following as the sum or difference of sines and ...

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