Question

find the general solution of sin(x°+40°)=1/√2​

Answer 1

$\sin(x + 40) = \frac{1}{ \sqrt{2} } \\ \sin(x + 4 0 ) = \sin(45) \\ x + 40 = 45 \\ x = 5$

hope it helps you

Answer 2

sin (x° + 40°) = 1/√2

sin 45° = 1/√2

So, x° + 40° = 45°

=> x° = 5°.