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Convert each of the following products into the sum or difference of sines and cosines: `2sin5theta\ costheta`

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RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m) , prove that tan(...

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

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

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

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

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

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

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  8. 2cos(pi/13)cos(9pi/13)+cos(3pi/13)+cos(5pi/13)=0

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

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

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

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

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

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

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

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  16. Prove that; 2sin((5pi)/12)sin(pi/12)=1/2

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  17. Prove that 2sin((5pi)/12)cos(pi/12)=(2+sqrt3)/2

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  18. Find the value of 2cos((5pi)/12) cos(pi/12) and 2sin((5pi)/12)cos(pi/1...

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  19. Show that: sin 50^0cos85^0=(1-sqrt(2)sin35^0)/(2sqrt(2))

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  20. sin25^@cos115^@=1/2(sin40^@-1)

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