Question

Sin^2(x)= 1/2 ? i need help solving this

Answer 1

45 and 135

Explanation:

You have to way

1st one, which is using your calculator inverse of sin

2nd one

take `sqrt(sin(x)^2)=sqrt(1/2)`

`sin(x)=sqrt2/2`

sin = opposite / hypotenuse

So, lets think about a right triangle with opposite `sqrt2` and hypotenuse `2`

and get the adjacent by Pythagorean theorem `sqrt(2^2-(sqrt2)^2`

`=sqrt2`

So, we have an isosceles right triangle so

we have right angle = 90

and two equal angles equal 90

so one angle equal to 45