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Solve the following equation: sin^2theta...

Solve the following equation: `sin^2theta-costheta=1/4`

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Given, `sin^2theta−costheta=1/4`
⇒`cos^2theta−costheta=3/4`
⇒`costheta=(−1±sqrt(4))/2 ​​=−3/2​,1/2​`
`costheta=−3/2​` or` costheta=1/2`
​ ⇒`theta=2nπ±π/3`​
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
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  8. Solve the following equation: \ 4sin^2theta-8costheta+1=0

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

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

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

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

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

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

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

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

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