Question

100 Points! Algebra question. Photo attached. Solve the equation. Please show as much work as possible. Thank you!

Answer 1

`3 {cos}^(2) x - {sin}^(2) x = 0`

`3 - 3 {sin}^(2) x - {sin}^(2) x = 0`

`3 - 4 {sin}^(2) x = 0`

`4 {sin}^(2) x = 3`

`{sin}^(2) x = (3)/(4)`

sin(x) = +(1/2)√3

x = π/3 + 2kπ or x = 2π/3 + 2kπ

x = -π/3 + 2kπ or x = -2π/3 + 2kπ

(k is an integer)