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Solve the equation sqrt3cos x + sin x = ...

Solve the equation `sqrt3cos x + sin x = sqrt2 `.

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To solve the equation \( \sqrt{3} \cos x + \sin x = \sqrt{2} \), we can follow these steps: ### Step 1: Normalize the equation We start by dividing both sides of the equation by \( \sqrt{(\sqrt{3})^2 + 1^2} \). \[ \sqrt{3} \cos x + \sin x = \sqrt{2} \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. Solve 4cot2theta=cot^2theta-tan^2theta

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  2. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

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  3. Solve the equation sqrt3cos x + sin x = sqrt2 .

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  4. Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta.

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  5. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

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  6. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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  7. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

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  8. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

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  9. If x , y in [0,2pi] , then find the total number of ordered pairs (x ,...

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  10. Find the number of solution of sin^2xcos^2x=1+cos^2xsin^4x in the inte...

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  11. If 3sinx+4cosa x=7 has at least one solution, then find the possible v...

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  12. Solve cos^(50) x- sin^(50)x=1

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  13. Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

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  14. Solve 1 + sin x "sin"^(2) x/2=0.

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  15. Solve cos 4 theta+ sin 5 theta=2.

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  16. Solve for xa n dy :sqrt(3)sinx+cosx=8y-y^2-18 ,w h e r e0lt=xlt=4pi, y...

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  17. Solve the equation: cos^2[pi/4(sinx+sqrt(2)cos^2x)]-tan^2[x+pi/4tan^2x...

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  18. Find the number of solution for the equation Sin x = x/10

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  19. Find the number of roots of equation xsinx=1

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  20. Prove that the least positive value of x , satisfying tanx=x+1,l i e s...

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