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Solve cos 2x=|sin x|, x in (-pi/2, pi)....

Solve `cos 2x=|sin x|, x in (-pi/2, pi)`.

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To solve the equation \( \cos 2x = |\sin x| \) for \( x \) in the interval \( \left(-\frac{\pi}{2}, \pi\right) \), we can follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \cos 2x = |\sin x| \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If m and n(n > m) are positive integers, then find the number of solut...

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  17. Solve sin x gt -1/2

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  18. Solve x^(2) lt "sin" pi/2 x.

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  19. Solve sintheta+sqrt(3)cos theta geq1,-pi < theta < pidot

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  20. Solve cos 2x=|sin x|, x in (-pi/2, pi).

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