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If `7sin^(2)theta+3cos^(2)theta=4`, then find `tan theta`.A. `(1)/(sqrt(3))`B. `(2)/(sqrt(3))`C. `sqrt(3)`D. `1`

Answer» Correct Answer - A
`3 sin^(2) theta+4 sin^(2) theta+3 cos^(2) theta=4`
`3+4 sin^(2) theta=4`
`4 sin^(2) theta=1`
`sin theta=(1)/(sqrt(4))=(1)/(2)`
`theta=30^(@)`.
`:. tan theta =(1)/(sqrt(3))`.


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