Trig Review!

Front

What is the conversion formula from radians to degrees?

Back

Degrees = Radians × \(\frac{180}{\pi}\)

Front

Convert \(\frac{2\pi}{3}\) radians to degrees.

Back

\(120\degree\)

Front

What is the coordinate point for \(\frac{4\pi}{3}\) radians?

Back

\(\left(-\frac{1}{2}, -\frac{\sqrt{3}}{2}\right)\)

Front

What is the formula for arc length?

Back

Arc Length = Radius × Angle (in radians)

Front

Find the arc length for a circle with radius 7 cm and angle \(\frac{7\pi}{6}\) radians.

Back

\(7\pi\) cm

Front

What is the period of the function \(y = 3 \sin(2x)\)?

Back

Period = \(\frac{2\pi}{B}\) where B is the coefficient of x. Here, Period = \(180\degree\) or \(\pi\) radians.

Front

What is the relationship between the unit circle and trigonometric functions?

Back

The unit circle defines the sine and cosine values for angles, where the x-coordinate represents cosine and the y-coordinate represents sine.

Front

What is the sine of \(\frac{3\pi}{2}\) radians?

Back

\(-1\)

Front

What is the cosine of \(\frac{\pi}{3}\) radians?

Back

\(\frac{1}{2}\)

Front

What is the tangent of \(\frac{\pi}{4}\) radians?

Back

\(1\)