Find the Exact Value csc(26)

Problem

csc(26)

Solution

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

2. Recognize that 26 is not a standard reference angle (like 30 45 or 60 for which exact values are typically memorized in basic trigonometry.

3. Determine if the value can be expressed using radicals. While exact values for all integer degree angles can be expressed using nested radicals, they are extremely complex and usually not required unless specified.

4. State the expression in terms of the sine function using the reciprocal identity.

5. Conclude that without further instructions to use half-angle or addition formulas (which would involve 13 or combinations of other non-standard angles), the exact value is represented by the function itself or its reciprocal.

Final Answer

csc(26)=1/sin(26)

Want more problems? Check here!