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Prove that: cos^2theta=cos^2alpha thent...

Prove that: `cos^2theta=cos^2alpha` then`theta=npi+-alpha,n in Z`

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RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS-All Questions
  1. Write the values of x in [0,pi] for which sin2x ,1/2 and cos2x are in...

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  2. Prove that: tan^2theta=tan^2alpha ,theta=npi+-alpha,n in Z

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  3. Prove that: cos^2theta=cos^2alpha thentheta=npi+-alpha,n in Z

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  4. Find the general solutions of the following equations: sin 2theta=0 ...

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  5. Find the general solutions of the following equations: cos3theta=0 (i...

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  6. Find the general solutions of the following equations: tan2theta=0 ...

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  7. Prove that the general solution of sin θ= sin α, is given by : theta=n...

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  8. Prove that the general solution of cos"theta"=cos"alpha" is given by :...

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  9. Prove that the general solution of tan"theta"=tan"alpha" is given by :...

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  10. Solve the following trigonometric equations: sin(theta/2)=-1 (ii) cos(...

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  11. Solve that following equation: cottheta+t a ntheta=2

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  12. Write the number of solutions of the equation t a nx+s e cx=2cosx in t...

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  13. The number of values of x in the interval 0,5pisatisfying the equation...

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  14. If a is any real number, the number of roots of cotx-t a nx=a in the f...

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  15. Solve: sqrt(3) cos theta+sintheta=sqrt(2)

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  16. If cosx=k has exactly one solutions in [0,2pi] , then write the values...

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  17. Write the number of points in intersection of the curves 2y=-1a n dy=c...

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  18. Find the general solutions of the following equation: sintheta=(sqrt(3...

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  19. Find the general solutions of the following equation: 2\ sin\ theta+1=...

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  20. Find the general solutions of the following equation: cosec\ theta=2

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