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

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Answer 1 · 2017-08-22T09:45:49

45 and 135

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