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Convert each of the following products i...

Convert each of the following products into the sum or difference of sines and cosines: `cos\ 75^0cos15^0`

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`frac{1}{2}(2 sin 75^{circ} cos 15^{circ})= frac{1}{2}(sin (75^{circ}+15^{circ})+sin (75^{circ}-15^{circ})) `

` =frac{1}{2}(sin 90^{circ}+sin 60^{circ}) `
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RD SHARMA-TRANSFORMATION FORMULAE-Solved Examples And Exercises
  1. Convert each of the following products into the sum or difference of ...

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

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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. Find the value of 2cos(pi/(10))cos((9pi)/10)+cos((2pi)/10)

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

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

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

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

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

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

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

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

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

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

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  16. Show that: s in 50^0cos85^0=(1-sqrt(2)sin35^0)/(2sqrt(2))

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

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  18. Prove that: 4\ costhetacos\ (pi/3+theta)cos(pi/3-theta)=cos3theta

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  19. Prove that: cos 10^@cos30^@cos 50^@cos 70^@=3/(16)

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  20. Prove that: sin20^@sin40^@sin80^@=(sqrt(3))/8

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