HPC Unit Circle Test Review

Front

In which quadrants is sinθ positive?

Back

sinθ is positive in the 1st and 2nd quadrants.

Front

What is the value of cos(π)?

Back

cos(π) = -1.

Front

What is the value of cot(π/2)?

Back

cot(π/2) is undefined.

Front

If the terminal side of θ in standard position contains the point (-4,3), what is sin θ?

Back

sin θ = 3/5.

Front

Back

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 of the coordinate plane.

Front

What are the coordinates of the point on the unit circle at an angle of 0 radians?

Back

The coordinates are (1, 0).

Front

What is the relationship between sine and cosine in 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 tan(θ) in terms of sin(θ) and cos(θ)?

Back

tan(θ) = \frac{sin(θ)}{cos(θ)}.

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].