Question

Solve the equation `cos2x+sin^2x=4/9` to the nearest hundredth where `0lexle360^0`?

Answer 1

`x=48'11', 131'49', 228'11', 311'49'`

Explanation:

`cos2x+(sinx)^2=4/9`

`1-2(sinx)^2+(sinx)^2=4/9`

`1-(sinx)^2=4/9`

`(sinx)^2=5/9`

`sinx=+-(sqrt5)/3`

`x=48'11', 131'49', 228'11', 311'49'`