SUMMARY
The cosine of -π/2 equals 0 and the sine of -π/2 equals 1 due to the properties of trigonometric functions. Specifically, cosine is an even function, meaning cos(-θ) = cos(θ), while sine is an odd function, meaning sin(-θ) = -sin(θ). The angles in question are measured in radians, which is crucial for accurate calculations. Understanding these properties clarifies the results of these trigonometric evaluations.
PREREQUISITES
- Understanding of trigonometric functions, specifically sine and cosine.
- Familiarity with the unit circle and angle measurements in radians.
- Knowledge of even and odd functions in mathematics.
- Basic skills in solving trigonometric equations.
NEXT STEPS
- Study the unit circle to visualize sine and cosine values at key angles.
- Learn about the properties of even and odd functions in trigonometry.
- Explore the relationship between radians and degrees in angle measurement.
- Practice solving trigonometric equations using various identities.
USEFUL FOR
Students studying trigonometry, educators teaching mathematical concepts, and anyone seeking to deepen their understanding of trigonometric functions and their properties.