If 7sin square alpha+3 cos square alpha=6 then tan alpha is
Answers
Answered by
2
Hey there !!!
__________________________________________________
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
___________________________________________
Hope this helped you......................
__________________________________________________
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
___________________________________________
Hope this helped you......................
Similar questions