Question

If 7sin square alpha+3 cos square alpha=6 then tan alpha is

Answer 1

Hey there !!!

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7sin²α+3cos²α=6

4sin²α+3sin²α+3cos²α=6

4sin²α+3(sin²α+cos²α)=6

But sin²α+cos²α=1

4sin²α+3=6

4sin²α=6-3

sin²α=3/4

sinα=√3/4

sinα=√3/2

But sin60=√3/2

sinα=sin60

α=60°

tanα=tan60=√3

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Hope this helped you......................