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0ltthetaltpi/2, if x=sum(n=0)^inftycos^(...

`0ltthetaltpi/2, if x=sum_(n=0)^inftycos^(2n)theta,y=sum_(n=0)^inftysin^(2n)theta,z=sum_(n=0)^inftycos^(2n)thetasin^(2n)theta`

A

xyz=xz+y

B

xyz=xy+z

C

xyz=x+y+z

D

xyz=yz+x

Text Solution

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The correct Answer is:
B, C
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. In a Delta ABC

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  2. In a triangle tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

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  3. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

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  4. If tanalpha and tanbeta are the roots of the equation x^2+px+q=0 (pne0...

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  5. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

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  6. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

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  7. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

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  8. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

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  9. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

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  10. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

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  11. Match List - I with List-II

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  12. Match List - I with List-II

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  13. If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

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  14. If sintheta+costheta=1, then find the minimum value of (1+sectheta)(1+...

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  15. If M be the maximum value of 1+2sinx+3cosx, then 3M-10 is equal to

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  16. If 4nalpha=pi, then the numerical value of tanalpha, tan2alpha,tan3alp...

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  17. If alpha=pi/15 and cos2alphacos4alphacos8alphacos14alpha=lambda then 2...

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  18. 0ltxltpi/4 and pi/4 < y < pi/2 and underset(k=0)oversetinftysum(-1)^kt...

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  19. The number of sides of two regular polygons are in the ratio 5:4 and t...

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  20. If cosx=-3./5 x lies in the third quadrant fins the values of other fi...

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