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Solve the following equation: \ 4sin^2th...

Solve the following equation: `\ 4sin^2theta-8costheta+1=0`

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Given,`4sin^2theta-8costheta+1=0`
=`4(1-cos)^2theta-8costheta+1=0`
=`-4cos^2theta-8costheta+5=0`
=`-4cos^2theta-10costheta+2costheta+5=0`
=`(-2costheta+1)(2costheta+5)=0`
=`costheta=1/2 or -5/2`
or `theta=60^0`
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Solve the following equation: \ 3cos^2theta-2\ sqrt(3)sinthetacostheta...

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  2. Solve the following equation: \ 2cos^2theta-5\ costheta+2=0

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  3. Solve the following equation: \ 4sin^2theta-8costheta+1=0

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  4. Solve the following equation: cos4theta=cos2theta

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  5. Solve the following equation: costheta+cos2theta+cos3theta=0

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  6. Solve the following equation: sintheta+sin5theta=sin3theta

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  7. Solve the following equation: costheta+sintheta=cos2theta+ sin2theta

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  8. Solve the following equation: sintheta+ sin2theta+sin3theta+sin4theta...

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  9. Solve the following equation: sin3theta-sintheta=4cos^2theta-2

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  10. Solve the following equation: costheta+cos3theta-cos2theta=0

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  11. Solve the following equation: costheta\ cos2theta\ cos3theta=1/4

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  12. Solve the following equation: sintheta+sin2theta+sin3theta+ sin4theta=...

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  13. Solve the following equation: sin2theta-sin4theta+sin6theta=0

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  14. Solve the following equation: tantheta+tan2theta+tan3theta=0

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  15. Write the general solution of tan^2 2x=1.

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  16. Solve the equation 5cos^2 theta+7sin^2theta-6=0

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  17. Writhe the number of values of theta\ in\ [0,2pi] thast satisfy the eq...

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  18. If 2sin^2theta=3\ costheta,\ w h e r e\ 0lt=thetalt=2pi, then find the...

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  19. The smallest value of theta satisfying the equation sqrt(3)(cottheta+t...

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  20. If costheta+sqrt(3)sintheta=2, then theta= a.pi//3 b. 2pi//3 c. 4pi//...

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