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If 7cosx-24sinx=dcos(x+alpha), oltalphal...

If `7cosx-24sinx=dcos(x+alpha), oltalphaltpi/2`, be true for all `x in R`, then

A

d=25

B

`alpha=sin^(-1)(24/25)`

C

d=-25

D

`alpha=cos^(-1)(7/24)`

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A, B
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  2. The inequation 4sin3x+5ge4cos2x+5sinx

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  4. Prove that abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4 for all v...

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  7. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

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

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

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

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

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  15. Match List - I with List-II

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  16. Match List - I with List-II

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

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

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

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