SUMMARY
The exact value of sin 240º is determined by recognizing that 240º is located in the third quadrant, where the sine function is negative. By expressing 240º as 180º + 60º, we can utilize the known value of sin 60º, which is √3/2. Therefore, sin 240º equals -√3/2, as sine is negative in the third quadrant.
PREREQUISITES
- Understanding of trigonometric functions and their properties
- Knowledge of angle measurement in degrees
- Familiarity with the unit circle and quadrants
- Ability to apply angle sum identities in trigonometry
NEXT STEPS
- Study the unit circle to understand the signs of trigonometric functions in different quadrants
- Learn about angle sum and difference identities in trigonometry
- Practice finding exact values of trigonometric functions for various angles
- Explore the relationship between radians and degrees in trigonometric calculations
USEFUL FOR
Students studying trigonometry, educators teaching trigonometric concepts, and anyone seeking to improve their understanding of sine values in different quadrants.