How does cos(-pi/2)=0 and others

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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.
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  • 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.
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Homework Statement


can someone tell me how cos(-pi/2)=0?
and also how-sin(-pi/2)=1?


Homework Equations


trigonometry


The Attempt at a Solution


ive tried using the two special triangles, but they haven't worked and i don't know what else to do
 
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subopolois said:

Homework Statement


can someone tell me how cos(-pi/2)=0?
and also how-sin(-pi/2)=1?

Homework Equations


trigonometry

The Attempt at a Solution


ive tried using the two special triangles, but they haven't worked and i don't know what else to do
Notice that cosine is an even function and sine is an odd function.

Whilst it may be obvious, I will point out that the angles are in radians.
 
Last edited:

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