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If (sin^(4)alpha)/a +(cos^(4)alpha)/b = ...

If `(sin^(4)alpha)/a +(cos^(4)alpha)/b = 1/(a+b)`, show that `sin^(8)alpha/a^(3) +cos^(8)alpha/b^(3) =1/(a+b)^(3)`

A

`(1)/((a+b)^(3))`

B

`(a^(2)b^(2))/((a+b)^(2))`

C

`(a^(3)b^(3))/((a+b)^(3))`

D

`(ab)/(a+b)`

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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. (sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=?

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  2. If x=secphi-tanphi&y=cosecphi+cotphi, then

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  3. If (sin^(4)alpha)/a +(cos^(4)alpha)/b = 1/(a+b), show that sin^(8)alph...

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  4. If 2ycostheta=x sintheta and 2xsectheta-ycosectheta=3, then x^(2)+4y^(...

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  5. If tantheta-cottheta=a and costheta+sintheta=b, then (b^(2)-1)^(2)(a^(...

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  6. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha), then sinalpha+cos...

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  7. If sintheta+sinphi=aandcostheta+cosphi=b, then tan((theta-phi)/(2))=?

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  8. cos^(2)alpha+cos^(2)(alpha+120^(@))+cos^(2)(alpha-120^(@))=?

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  9. The value of sin""(pi)/(14).sin""(3pi)/(14).sin""(5pi)/(14).sin""(7pi)...

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  10. If tanA=(1)/(3)andtanB=(2)/(5) , what is the value of tan (2A+B) ?

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  11. The value of sin600^(@)cos330^(@)+cos120^(@)sin150^(@) is

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  12. If tan(A+B)=p&tan(A-B)=q, then the value of tan 2A is

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  13. (sec8A-1)/(sec4A-1)=?

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  14. In a DeltaABC,angleC=90^(@), then the equation whose roots are tan A &...

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  15. If sinA+sin2A=xandcosA+cos2A=y, then (x^(2)+y^(2))(x^(2)+y^(2)-3)=?

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  16. If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in

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  17. (cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=?

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  18. If tanalpha=(1)/(7)&tanbeta=(1)/(3), then cos2alpha=?

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  19. If A=130^(@) and x=sinA+cosA, then

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  20. If tanA=(1)/(2),tanB=(1)/(3), then cos2A=?

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