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For x belongs to (o,pi) the equation sin...

For `x belongs to (o,pi)` the equation sinx+2sin2x-sin3x=3 has

A

infintely many solution

B

three solution

C

one solution

D

no solution

Text Solution

Verified by Experts

The correct Answer is:
D
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  2. Which one of the following statements is correct ?

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  3. For x belongs to (o,pi) the equation sinx+2sin2x-sin3x=3 has

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  4. Let fk(x)=1/k(sin^k x+cos^k x) Then f4(x)-f6(x) =

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  5. The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

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  6. The sum of the series underset(n=1)sum sin((nipi)/720) is

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  7. The minimum value of 2^(sin x) + 2^(cos x) is

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  8. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

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  9. The expression tanA(1-cotA)+cotA/(1-tanA) can be written as

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  10. For 0leP, Qle(pi/2)if sinP+cosQ=2 then the value of tan((P+Q)/2) is eq...

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  11. Let f(theta)=(1+sin^2 theta)(2-sin^2 theta) then for all values

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  12. The maximum and minimum values of cos^6 theta +sin^6 theta are respect...

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  13. The value of cos^2 75^@ +cos^2 45^@ +cos^2 15^@- cos^2 30^@-cos^2 60^@...

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  14. If sin^2 theta+3cos theta=2 then cos^3 theta+sec^3 theta is

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  15. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

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  16. In a DeltaPQR if 3sinP+4cosQ=6 and 4sinQ+3cosP=1 then the angle R is e...

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  17. The positive integral value of n gt 3 satisfying the equation 1/(sin(p...

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  18. If A=sin^2theta+cos^4theta then for all real values of theta

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  19. If sintheta=(2t)/(1+t^2) and theta lies in the second quadrant then co...

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  20. The number of solutions of 2sinx+cosx=3 is

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