PC Lesson 37 Practice

Front

What is the cosecant function, \( \csc \theta \)?

Back

The cosecant function is defined as the reciprocal of the sine function: \( \csc \theta = \frac{1}{\sin \theta} \).

Front

Evaluate \( \tan \pi \).

Back

The value of \( \tan \pi \) is \( 0 \).

Front

What is the relationship between cotangent and sine?

Back

The cotangent of an angle multiplied by the sine of that angle is equal to the cosine of that angle: \( \cot \theta \sin \theta = \cos \theta \).

Front

Evaluate \( \cos \left( \frac{\pi}{4} \right) \).

Back

The value of \( \cos \left( \frac{\pi}{4} \right) \) is \( \frac{\sqrt{2}}{2} \).

Front

What is the equivalent expression for \( \cot \theta \sin \theta \)?

Back

The equivalent expression is \( \cos \theta \).

Front

Define the sine function, \( \sin \theta \).

Back

The sine function is a trigonometric function defined as the ratio of the length of the opposite side to the hypotenuse in a right triangle.

Front

Define the cosine function, \( \cos \theta \).

Back

The cosine function is a trigonometric function defined as the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Front

What is the tangent function, \( \tan \theta \)?

Back

The tangent function is defined as the ratio of the sine to the cosine: \( \tan \theta = \frac{\sin \theta}{\cos \theta} \).

Front

What is the value of \( \sin(0) \)?

Back

The value of \( \sin(0) \) is \( 0 \).

Front

What is the value of \( \cos(0) \)?

Back

The value of \( \cos(0) \) is \( 1 \).