Need Help with Trigonometry HW

Question

State the sine and cosine of two unique angles that do not fall on an axis where the values are the same negative value. Give the trig function and angle along with the values to so they are equivalent. Write the answer as sin(___)=___ and cos(___)=___.

Answer 1

sines and cosines are both negative and only both negative in the 3rd quadrant where the angle is between 180 and 270 degrees

they have the same value when the angle = 180+45 = 225 degrees or 5pi/4 radians

sin225 = cos225 = sin(5pi/4) = cos(5pi/4) = -sqr2/2 = about -1.414/2 = - 0.707

it's not really a unique angle though, unless you restrict it to 0 to 2pi

otherwise the angles could be 225 + 360n where n = any integer

or 5pi/4 + 2npi where n= any integer