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Prove that :"sin"Asin(60^0-A)sin(60^0+A)...

Prove that :`"sin"Asin(60^0-A)sin(60^0+A)=1/4sin3A`

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RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ...

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  2. Prove that: tan20^0tan40^0tan80^0=tan60^0

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  3. Prove that :"sin"Asin(60^0-A)sin(60^0+A)=1/4sin3A

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  4. Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2the...

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  5. If alpha+beta=90^0 , find the maximum and minimum values of sinalphas...

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  6. Prove that: cos20^0cos40^0cos60^0cos80^0=1/(16)

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

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  8. Prove that: 4"cos"12^0cos48^0cos72^0=cos36^0

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  9. Prove that: tantheta.tan(60^0-theta).tan(60^0+theta)=tan3thetadot.'

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  10. Prove that: sin(B-C)cos(A-D) + sin(C-A) cos (B-D) + sin(A-B) cos(C-...

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  11. If sinx+siny=sqrt(3)(cos y-cos x), then sin3x+sin3y= (a) ...

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  12. Prove that: (cos(A+B+C)+cos(-A+B+C)+cos(A-B+C)+"cos"(A+B-C))/(sin(A+B...

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  13. Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={...

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  14. If sintheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

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

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

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

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

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

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

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