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Solve sin x-3 sin 2x + sin 3x = cos x -3...

Solve `sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x`.

A

`npi + (pi)/(8)`

B

`(npi)/(2) + (pi)/(8)`

C

`(-1)n((npi)/(2) + (pi)/(8))`

D

`2n pi + "cos"^(-1)((3)/(2))`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The number of solutions of the equation "tan" theta + "sec" theta = 2 ...

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  2. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

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  3. Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x.

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  4. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

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  5. A solution of the equation cos^2theta+sintheta+1=0 lies in the interva...

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  6. General solution of tantheta+tan4theta+tan7theta=tan4thetatan7theta is...

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  7. The general values of theta satisfying the equation 2sin^2thetapi-3sin...

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  8. Find the general solution of the equation (sqrt(3)-1)costheta+(sqrt(...

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  9. The most general value of theta which satisfy both the equation "cos"...

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  10. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpen...

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  11. Solve (tan 3x - tan 2x)/(1+tan 3x tan 2x)=1.

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  12. The value of theta lying between 0 and pi/2 and satisfying the equatio...

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  13. The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x ...

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  14. If "tan" 2 theta "tan" theta =1, "then" theta =

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  15. The general solution of the trigonometric equation sinx+cosx=1 is give...

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  16. If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between ...

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  17. Find the general values of theta which satisfies the equation tan th...

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  18. The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" th...

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  19. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

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  20. The equaltion a sin x+b cos x=c, where |c|gtsqrt(a^(2)+b^(2)) has

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