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If 7sin^2theta+3cos^2theta=4, show that ...

If `7sin^2theta+3cos^2theta=4`, show that `tantheta=1/sqrt(3)`

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Given,
`7sin^2theta+3cos^2theta=4`
`4sin^2theta+3(sin^2theta+cos^2theta)=4`
`4sin^2theta+3=4`
`4sin^2theta=1`
`sintheta=1/2​`
...
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