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Express each of the following as the sum...

Express each of the following as the sum or difference of sines and cosines: `\ 2sin4thetasin3theta`

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`2sin 4θsin 3θ`
`∵2sin A sin B`
`=cos(A−B)−cos(A+B)`
`⇒2sin4θsin3θ`
`=cos(4θ−3θ)−cos(4θ+3θ)`
`=cosθ−cos7θ`
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RD SHARMA-TRANSFORMATION FORMULAE-Solved Examples And Exercises
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  2. Express each of the following as the sum or difference of sines and ...

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

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

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

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

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

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

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

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

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

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

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  14. Prove that: t a n 20^@tan40^@tan60^@tan80^@=3

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  15. Prove that: sin 10^@sin 50^@sin 60^@sin 70^@=(sqrt(3))/(16)

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  16. Prove that: cos40^0cos80^0cos 160^0=\ -1/8

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  17. Prove that: \ cos 20^0cos 40^0cos 80^0=1/8

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  18. Prove that: tan 20^@tan 30^@tan 40^@tan 80^@=1

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  19. Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

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  20. Prove that: (sin 5A-sin 3A)/(cos5A+cos3A)=t a n A

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