Unit Circle Trig Practice

Front

In which quadrants is sinθ positive?

Back

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

Front

What is the value of tan(θ) when sin(θ) = 1 and cos(θ) = 0?

Back

tan(θ) is undefined because cos(θ) = 0.

Front

What is the value of sin(\frac{\pi}{2})?

Back

sin(\frac{\pi}{2}) = 1.

Front

In which quadrants is cosθ positive?

Back

cosθ is positive in the 1st and 4th quadrants.

Front

What is the value of sin(2\pi)?

Back

sin(2\pi) = 0.

Front

What is the relationship between sinθ and cosθ in the unit circle?

Back

sinθ = y-coordinate, cosθ = x-coordinate on the unit circle.

Front

What is the value of csc(θ) when sin(θ) = 0.5?

Back

csc(θ) = 2.

Front

What is the value of sec(θ) when cos(θ) = 0.5?

Back

sec(θ) = 2.

Front

What is the value of cot(θ) when tan(θ) = 1?

Back

cot(θ) = 1.

Front

What is the sine of an angle in the 3rd quadrant?

Back

sin(θ) is negative in the 3rd quadrant.