Trigonometric Values and Calculations
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Questions and Answers

What is the radian measure of a 30 degree angle?

π/6

What is the sine of a 90 degree angle?

1

Flashcards

sin(0°)

The sine of 0 degrees is 0

cos(0°)

The cosine of 0 degrees is 1

sin(30°)

The sine of 30 degrees is 1/2

cos(30°)

The cosine of 30 degrees is √3/2

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sin(45°)

The sine of 45 degrees is √2/2

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cos(45°)

The cosine of 45 degrees is √2/2

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sin(60°)

The sine of 60 degrees is √3/2

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cos(60°)

The cosine of 60 degrees is 1/2

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sin(90°)

The sine of 90 degrees is 1

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cos(90°)

The cosine of 90 degrees is 0

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sin(180°)

Sine of 180 degrees is 0

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cos(180°)

Cosine of 180 degrees is -1

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sin(270°)

Sine of 270 degrees is -1

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cos(270°)

Cosine of 270 degrees is 0

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sin(360°)

Sine of 360 degrees is 0

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cos(360°)

Cosine of 360 degrees is 1

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Study Notes

Trigonometric Values

  • This table shows the sine and cosine values for various angles, both in degrees and radians.
  • Angles are measured from 0° to 360° (a full circle).
  • Values are expressed as exact values, including square roots where needed (e.g., √2/2).

Degrees to Radians Conversion

  • The degrees column corresponds to the angle in degrees.
  • The radians column represents the same angle in radians.

Sine (sin(x)) and Cosine (cos(x)) Values

  • The sine and cosine values in the table provide the vertical and horizontal components of points on the unit circle.
  • These values are crucial in trigonometry to analyze and solve problems related to triangles and circular motion.

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Description

This quiz focuses on trigonometric values, including sine and cosine for various angles in both degrees and radians. It covers how to convert between degrees and radians and emphasizes the importance of these values in trigonometry for analyzing triangles and circular motion.

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