8.1 & 6.1 Review

Front

What is the value of \( \cos 70^{\circ} \)?

Back

0.34

Front

Which trigonometric ratio is represented by \( \tan 28 = \frac{x}{14} \)?

Back

It represents the tangent ratio, which is the ratio of the opposite side to the adjacent side in a right triangle.

Front

What is an application of angular and linear speed?

Back

Calculating the speed of a rotating object.

Front

If a wheel with a 5 cm radius turns at a rate of 20 rev/sec, what is its linear speed in cm/sec?

Back

200\pi cm/sec.

Front

In which quadrant would you find an angle measuring \( \theta = 70^{\circ} \)?

Back

Quadrant 1.

Front

Define the cosine function in a right triangle.

Back

The cosine function is the ratio of the length of the adjacent side to the hypotenuse.

Front

What is the formula for calculating linear speed from angular speed?

Back

Linear speed = radius \( \times \) angular speed.

Front

What is the sine function in a right triangle?

Back

The sine function is the ratio of the length of the opposite side to the hypotenuse.

Front

How do you find the tangent of an angle in a right triangle?

Back

Tangent = \( \frac{\text{opposite}}{\text{adjacent}} \).

Front

What is the relationship between degrees and radians?

Back

180 degrees = \( \pi \) radians.