Find the Value Using the Unit Circle cos(12/13)

Problem

cos(12/13)

Solution

1. Identify the nature of the expression. The expression cos(12/13) represents the cosine of an angle measured as 12/13 radians.

2. Compare the value to known unit circle coordinates. On the unit circle, common angles are typically multiples of π (such as π/6 π/4 π/3. The value 12/13 is approximately 0.923 radians, which does not correspond to a standard "special" angle on the unit circle.

3. Determine if further simplification is possible. Since 12/13 is not a standard angle and no inverse trigonometric functions are present to cancel the cosine, the expression is already in its simplest exact form.

4. Approximate the value if needed. Using a calculator in radian mode, cos(12/13)≈0.603 However, in exact mathematical terms, the value is simply the cosine of that specific radian measure.

Final Answer

cos(12/13)=cos(12/13)

Want more problems? Check here!