CPM Test 6 (V11) Circular Trig 24-25 (Q15)

Front

Identify the quadrant where the angle -1035° is located.

Back

First quadrant.

Front

Find the reference angle for -1035°.

Back

45 degrees.

Front

Given \(\cos \theta = -\frac{\sqrt{3}}{2}\ and\ \tan \theta < 0\, find \(\sin \theta\ and\ \csc \theta\.

Back

\(\sin \theta = \frac{1}{2},\ \csc \theta = 2\.

Front

Given \(\cos \theta = -\frac{\sqrt{3}}{2}\ and\ \tan \theta < 0\, find \(\tan \theta\ and\ \cot \theta\.

Back

\(\tan \theta = -\frac{\sqrt{3}}{3};\ \cot \theta = -\sqrt{3}\.

Front

Write an equation for the graph of a cosine function that is reflected and has a frequency of 2.

Back

\(y = -\cos(2x)\.

Front

What is the definition of a reference angle?

Back

The reference angle is the acute angle formed by the terminal side of an angle and the x-axis.

Front

What is the unit circle?

Back

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

Front

What is the relationship between sine and cosecant?

Back

Cosecant is the reciprocal of sine: \(\csc \theta = \frac{1}{\sin \theta}\.

Front

What is the relationship between tangent and cotangent?

Back

Cotangent is the reciprocal of tangent: \(\cot \theta = \frac{1}{\tan \theta}\.

Front

How do you determine the quadrant of an angle?

Back

The quadrant can be determined by the sign of the sine and cosine values of the angle.