In each of the following sentences, circle any pronoun with an indefinite reference. Then, on the line provided, revise the sentence to correct the indefinite pronoun reference.
Whenever relatives visited, you were to be very polite and not cause trouble.

In each of the following sentences, circle any pronoun with an ambiguous reference. Then, on the line provided, rewrite the sentence to correct the ambiguous pronoun reference. The robins were almost the size of the blue jays, but they seemed to eat more.

Functions of Reference Angles Problem: This property relates the sine and cosine of an angle to the sine and cosine of the reference angle. Give numerical examples to show that the property is true for both sine and cosine.

Property: Sine and Cosine of a Reference Angle

$$\sin \theta_{\text {ref }}=|\sin \theta| \quad \text { and } \quad \cos \theta_{\text {ref }}=|\cos \theta|$$

A spacecraft (reference frame $\mathrm{S}^{\prime}$ ) moves past Earth (reference frame S) at velocity $\overrightarrow{\mathbf{v}}$, which points along the $x$ and $x^{\prime}$ axes. The spacecraft emits a light beam (speed $c$ ) along its $y^{\prime}$ axis as shown in Fig. 36-17. (a) What angle $\theta$ does this light beam make with the $x$ axis in the Earth's reference frame?

For each angle give the reference angle and Quadrant.

$$330 ^ { \circ }$$

A pulsar is a stellar object that emits light in short bursts. Suppose a pulsar with a speed of $0.950 \mathrm{c}$ approaches Earth and a rocket with a speed of $0.995 c$ heads toward the pulsar. (Both speeds are measured in Earth's frame of reference.) If the pulsar emits $10.0$ pulses per second in its own frame of reference, at what rate are the pulses emitted in the rocket's frame of reference?

Sketch the angle. Then find its reference angle.

$$- 100 ^ { \circ }$$

Sketch the angle. Then find its reference angle.8Π/3

Sketch the angle. Then find its reference angle.

$$-13π/7$$

In the sentences below, circle any pronoun with a weak reference. Then, on the line provided, rewrite the sentence to correct the weak pronoun reference.
The bookstore is nearby, so I can ride my bike there and buy one.

Sketch the angle. Then find its reference angle.

$$- 370^\circ$$

In the sentences below, circle any pronoun with a weak reference. Then, on the line provided, rewrite the sentence to correct the weak pronoun reference.
Stamp collectors and coin collectors often believe that they will increase in value over time.

Sketch the angle. Then find its reference angle. - 13π/6

Suppose a new test is proposed to identify patients with a specific condition.

One specimen is obtained from each of 220 subjects in the population to whom the test will be applied. Fifty-one (51) subjects have the condition and 169 do not, according to a gold standard used to assess the presence of the condition (referred to as a reference standard below). The following results are obtained:

Comparison of a new test with a reference standard

Provide a 95% Cl for the specificity (Hint: Use a computer program.)