Q. Express as a function of a DIFFERENT angle, 0∘≤θ<360∘.cos(110∘)cos(□∘)
Understand Reference Angles: Understand the concept of reference angles. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between 0∘ and 90∘ and is useful for finding the trigonometric function of an angle in any quadrant.
Determine Angle Quadrant: Determine the quadrant where the angle lies.The angle 110∘ lies in the second quadrant, where the cosine function is negative.
Find Reference Angle: Find the reference angle for 110°. To find the reference angle, subtract the angle from 180° because it is in the second quadrant. Reference angle = 180°−110°=70°
Express Using Reference Angle: Express cos(110°) using its reference angle.In the second quadrant, the cosine of an angle is the negative of the cosine of its reference angle. Therefore, cos(110°)=−cos(70°).
More problems from Sin, cos, and tan of special angles