solve sine equation, sin(x+0.7)=0.6, in rad.

[petr]

Hello,
sin(x+0.7)=0.6 in rad.

how to solve this equation. i have tried it this way:
sin x = 0.6 -> 0.64
and
x+0.7 = 0.6

but it doesnt work.

the solutions are supposed to be :x = −0.056 , 1.8

i can get the first x if i rearrange the equation for x= but i cannot get the 1.8 because finally i sketch the cast diagram and get pi - (-0.56) which doesn't give any 1.8

please could anybody describe a way of counting this sort of problems?


thank youuu.

 

[pka]

sin(x+0.7)=0.6 in

rad, how to solve this equation.

Because \(\displaystyle 0.6<\dfrac{\pi}{2} \) we know that \(\displaystyle x+0.7<\dfrac{\pi}{2} \). WHY?
Therefore \(\displaystyle x=\arcsin(?)-0.7 \) WHY?