The other tutor gave you a correct answer, but he gave it as a sine function of the complement of the reference angle, instead of a cosine function of the reference angle. I think you should express it as a cosine function of the reference angle, since you were given a cosine function, not change to different trig function. Rules for finding the reference angle: If an angle is between 0° and 90° (Quadrant I), the reference angle is the same as the angle. If an angle is between 90° and 180° (Quadrant II), to find the reference angle, subtract it from 180°. If an angle is between 180° and 270° (Quadrant III), to find the reference angle, subtract 180° from it. If an angle is between 270° and 360° (Quadrant IV), to find the reference angle, subtract it from 360°. So the reference angle for 136° (Quadrant II), is 180°-136° = 44° Since the cosine is negative in Quadrant II, the answer is -cos(44°) That is what I believe your teacher wants, not a sine function of the complement of the reference angle. Edwin