Simplify sin(65)

Problem

sin(65)

Solution

1. Identify the expression as the sine of an angle measured in degrees.

2. Determine if the angle is a standard reference angle (such as 0 30 45 60 or 90.

3. Conclude that since 65 is not a standard reference angle, the expression sin(65) is already in its simplest exact radical form. It can also be expressed in terms of its cofunction, the cosine of the complementary angle.

4. Apply the cofunction identity sin(θ)=cos(90−θ)

5. Calculate the complement: 90−65=25

Final Answer

sin(65)=cos(25)

Want more problems? Check here!