CPM Test 6 (V12) Circular Trig 24-25 (Q15)

Front

What is a reference angle?

Back

A reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis.

Front

How do you find the reference angle for a negative angle?

Back

To find the reference angle for a negative angle, add 360 degrees (or 2π radians) until the angle is positive, then find the reference angle as usual.

Front

What is the reference angle for -945 degrees?

Back

The reference angle for -945 degrees is 45 degrees.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by 180/π.

Front

What is the reference angle for \( \frac{19\pi}{6} \)?

Back

The reference angle for \( \frac{19\pi}{6} \) is \( \frac{\pi}{6} \).

Front

What is the formula for the period of a sine function?

Back

The period of a sine function is given by the formula \( P = \frac{2\pi}{b} \), where b is the coefficient of x in the function.

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline to the peak (or trough) of the wave.

Front

What is the equation for a sine function with an amplitude of 6 and a period of \( \frac{\pi}{6} \)?

Back

The equation is \( y = 6\sin(12x) \).

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Front

What does it mean if \( \cos \theta = -\frac{\sqrt{3}}{2} \) and \( \tan \theta > 0 \)?

Back

It means that \( \theta \) is in the third quadrant, where cosine is negative and tangent is positive.