Unit Circle

Front

What is the definition of the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane.

Front

What is the value of sin(π/2)?

Back

1

Front

What is the value of cos(π)?

Back

-1

Front

What is the value of tan(π/4)?

Back

1

Front

What is the relationship between sine and cosine on the unit circle?

Back

For any angle θ, sin(θ) is the y-coordinate and cos(θ) is the x-coordinate of the point on the unit circle.

Front

What is the value of sec(θ)?

Back

sec(θ) = 1/cos(θ), where cos(θ) cannot be 0.

Front

What is the value of csc(θ)?

Back

csc(θ) = 1/sin(θ), where sin(θ) cannot be 0.

Front

What is the value of cot(θ)?

Back

cot(θ) = 1/tan(θ) or cos(θ)/sin(θ), where sin(θ) cannot be 0.

Front

What is the angle in radians for a complete circle?

Back

2π radians.

Front

What is the value of tan(3π/2)?

Back

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