Question

Find 2 values of theta in degrees (0 deg <_ theta <_ 360 deg) for the angle sin theta= sqrt2/2

Answer 1

Take a look at this picture. http://puu.sh/8nIp9.png

The sine of an angle is just the y-value of the unit circle. Since you want sin(theta) to be positive, theta must be in between 0 and 180 degrees.

sin(theta) = sqrt2/2 is a common one, and you should commit it to memory.
It's theta = pi/4. In the second quadrant, it's also 3pi/4.

Same for cos(theta).

Answer 2

what about tangent?

Answer 3

@TurtleMuffin