Question

Find ALL solutions of the equation. Let n = any integer. State your solution as concisely as possible. Do not use a calculator - use the unit circle!

Answer 1

Remember that

tan45=1

If the tangent is negative

then

the angle must lie in II quadrant or IV quadrant

therefore

the solutions for x are

II quadrant

x=180-45=135 degrees

IV quadrant

x=360-45=315 degrees

therefore

the solutions are 135 degrees and 315 degreesant