Trigonometry Final Exam Review Fall '24

Front

What is the angle on the Unit Circle if the terminal side passes through the point \(\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)\)?

Back

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

Front

What does cos represent on the unit circle?

Back

Cos represents the x-coordinate of a point on the unit circle.

Front

In which quadrants is tan θ positive?

Back

Tan θ is positive in the 1st and 3rd quadrants.

Front

What is the simplified form of \(1 - \sin^2\theta\)?

Back

The simplified form is \(\cos\theta\).

Front

Using the law of sines or cosines, what is the value of side b if the answer is 14?

Back

The value of side b is 14.

Front

What is the definition of the sine function in a right triangle?

Back

Sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of the cosine function in a right triangle?

Back

Cosine is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of the tangent function in a right triangle?

Back

Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity is \(\sin^2\theta + \cos^2\theta = 1\).

Front

What is the value of sin(90°)?

Back

The value of sin(90°) is 1.