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The equation sqrt(3)sinx+cosx=4 has...

The equation `sqrt(3)sinx+cosx=4` has

A

only one solution

B

two solutions

C

infinitely many solutions

D

no solutions

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise -I
  1. If cot theta-tantheta=2 then the principal value of theta is

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  2. If sqrt(2)costheta=sqrt((2+sqrt(2+sqrt(2)))/(2)) then the value of the...

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  3. The solution set of the equation (2cosx-1)(3+2cosx)=0" in "0lexle2pi...

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  4. If 3tan(theta-15)=tan(theta+15^(0)),0ltthetaltpi then theta =

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  5. If sin(270^(@) - x) = cos 292^(@), then find x in (0, 360^(@))

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  6. For ninz, cos(2theta)=(sqrt(5)+1)/(4) implies theta =

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  7. If 4sinxcosx=sqrt(3), then x =

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  8. If tan^(2)theta=sin^(2)(pi//2) then theta =

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  9. The solution set of tan theta=3cottheta is

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  10. For ninz,2sin^(2)theta=cos2theta implies theta//2 =

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  11. The most general value of theta satisfying both the equations sintheta...

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  12. The most general value of theta satisfying both the equations sintheta...

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  13. If tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3), then the gener...

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  14. If costheta-sintheta=1, then theta

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  15. The most general value of theta which satisfies both equations tanthet...

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  16. The smallest value of 'theta' satisfying there equation sqrt(3)(tan th...

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  17. If tantheta+tan2theta+tantheta. tan2theta=1 then theta =

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  18. The solution set of (5+4Costheta)(2costheta+1)=0 in the interval [0,2p...

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  19. The general solution of tan^(2)theta=3 is

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  20. The equation sqrt(3)sinx+cosx=4 has

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