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The general solution of the equation sin...

The general solution of the equation `sinx-3sin2x+sin3x=cosx-3cos2x+cos3x` is `(n in Z)` `npi+pi/8` (b) `(npi)/2+pi/8` `(-1)^n(npi)/2+pi/8` (d) `2npi+cos^(-1)2/3`

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To solve the equation \( \sin x - 3 \sin 2x + \sin 3x = \cos x - 3 \cos 2x + \cos 3x \), we will follow these steps: ### Step 1: Rewrite the equation We start with the given equation: \[ \sin x - 3 \sin 2x + \sin 3x = \cos x - 3 \cos 2x + \cos 3x \] ...
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CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Which of the following is the least? sin 3      (b)  sin 2        (...

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  2. If the area of the circle is A1 and the area of the regular pentagon i...

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  3. The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos...

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  4. Which of the following is the least? sin 3      (b)  sin 2        (...

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  5. In A B C ,s i d e sb , c and angle B are given such that a has two va...

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  6. If theta in [0,5pi] and r in R such that 2sintheta=r^4-2r^2+3 then the...

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  7. Find the least value of sec^6x+cos e c^6x+sec^6xcos e c^6xdot

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  8. In A B C ,a , ca n dA are given and b1,b2 are two values of the third...

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  9. The solutions of the equation 1+(sinx-cosx)sinpi/4=2cos^2(5x)/2 is/are...

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  10. Find the values of a for which a^2-6sinx-5ale0,Aax inR.

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  11. If A=30^0, a=7,a n db=8 in A B C , then find the number of triangles ...

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  12. If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy...

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  13. Find the minimum value of 2costheta+1/(sintheta)+sqrt(2)tanthetain(0,p...

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  14. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

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  15. Solve sin^4(x/3)+cos^4(x/3)>1/2

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  16. If sin^4alpha+cos^4beta+2=4sinalphacosbeta,0lt=alpha,betalt=pi/2 then ...

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  17. In A B C ,/A=90^0a n dA D is an altitude. Complete the relation (B D)...

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  18. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

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  19. Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 h...

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  20. A B C is a triangle, P is a point on A Ba n dQ is a point on A C such ...

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