Question 1

If  and  , determine the value of c. Round to two decimal places.

Accepted Answer

The answer of If  and  , determine the...

Question 2

Find (if possible) the supplement of  .

Accepted Answer

The answer of Find (if possible) the supplement of ...

Question 3

Using the figure below, if  , determine the exact value of x.

Accepted Answer

The answer of Using the figure below, if  ,...

Question 4

Determine the quadrant in which a 130° angle lies.

Accepted Answer

A 130° angle lies between 90° and 180°, which is in the 2nd quadrant.

Question 5

Use an inverse function to write $\theta$as a function of x.

Accepted Answer

The answer of Use an inverse function to write $\theta$as...

Question 6

Rewrite  in degree measure.

Accepted Answer

The only change between the options is in the third group of characters (85ae → acc0, acc1, acc2, or d3d3). In hexidecimal, each digit represents four bits, or a nibble. Therefore, there are 16 possible values for each digit: 0-9 and A-F. Since the angle measure is in degrees, it cannot have letters greater than F (which represents 15 in decimal). The only option that follows this rule is B, which changes the third group of characters to "acc0".

Question 7

Evaluate  without using a calculator.

Accepted Answer

The answer of Evaluate  without using a calculator.
...

Question 8

Determine the quadrant in which an angle, $\theta$, lies if  radians.

Accepted Answer

The answer of Determine the quadrant in which an angle,...

Question 9

After leaving the runway, a plane's angle of ascent is  and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.

Accepted Answer

The answer of After leaving the runway, a plane's angle...

Question 10

Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.

Accepted Answer

The answer of Find the radian measure of the central...

Question 11

Find the exact value of  .

Accepted Answer

The answer of Find the exact value of  .
...

Question 12

Given the figure below, determine the value of  .

Accepted Answer

The last two pairs of each value in both expressions are different, except for the last pair. Therefore we need to compare the third pair. In choice C, the third pair of both values is "dbee" and "02ff" respectively, which means they have the same numerical value.

Question 13

If  and  , determine the value of  . Round to two decimal places.

Accepted Answer

By comparing the two given values, we can see that the only difference is in the third hexadecimal number (d7e3 vs. d7e4). The third hexadecimal number in the required value should be the XOR of the third hexadecimal numbers of the given values (i.e. fef5 = d7e3 XOR d7e4). So the required value is 11eb80b1_afe6_fef5_a291_87da549eac52_TB8633_11, which matches with option C.

Question 14

Evaluate  without using a calculator.

Accepted Answer

First, convert 11eb80b1_afe5_ed71_a291_d516f54a7373_TB8633_11 from hexadecimal to decimal. 
11eb80b1_afe5_ed71_a291_d516f54a7373_TB8633_11 = 
12,147,978,257,286,600,992,868,125,660,067,268,019,715,315.71

Next, divide by 100 and round to the nearest whole number: 
12,147,978,257,286,600,992,868,125,660,067,268,019,715,315.71 / 100 ≈ 121,479,782,572,866,009,928,681,256,600,672,680,197,153

Finally, convert this number back to hexadecimal: 
121,479,782,572,866,009,928,681,256,600,672,680,197,153 = 
11eb80b1_afe6_1484_a291_71863abea139_TB8633_11

Therefore, the answer is C.

Question 15

Rewrite  in radian measure as a multiple of  $\pi$.

Accepted Answer

The answer of Rewrite  in radian measure as a...

Question 16

Convert  to degree-decimal form. Round answer to three decimal places.

Accepted Answer

The answer of Convert  to degree-decimal form. Round answer...

Question 17

Find the angle, in radians, in the figure below if  and  .

Accepted Answer

The answer of Find the angle, in radians, in the...

Question 18

Determine the quadrant in which a  °  angle lies.

Accepted Answer

The answer of Determine the quadrant in which a ...

Question 19

Rewrite  in degree measure. Round to three decimal places.

Accepted Answer

11eb80b1_afe8_fae6_a291_ed5bd001edb3_TB8633_11 translates to:
465.279 degrees in decimal degrees.
This is the best choice as it is the only answer that is a plausible degree measure.

Question 20

The point  is on the terminal side of an angle in standard position. Determine the exact value of  .

Accepted Answer

The answer of The point  is on the terminal...

Quiz 5: Trigonometric Functions

If and , determine the value of c. Round to two decimal places.

Find (if possible) the supplement of .

Using the figure below, if , determine the exact value of x.

Determine the quadrant in which a 130° angle lies.

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x. A) B) C) D) E)$

Rewrite in degree measure.

Evaluate without using a calculator.

Determine the quadrant in which an angle, $\theta$ , lies if $Determine the quadrant in which an angle, \theta , lies if radians. A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant$ radians.

After leaving the runway, a plane's angle of ascent is and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.

Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.

Find the exact value of .

Given the figure below, determine the value of .

If and , determine the value of . Round to two decimal places.

Evaluate without using a calculator.

Rewrite $Rewrite in radian measure as a multiple of \pi . A) B) C) D) E)$ in radian measure as a multiple of $\pi$ .

Convert to degree-decimal form. Round answer to three decimal places.

Find the angle, in radians, in the figure below if and .

Determine the quadrant in which a ° angle lies.

Rewrite in degree measure. Round to three decimal places.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Quiz 5: Trigonometric Functions

If and , determine the value of c. Round to two decimal places.

Find (if possible) the supplement of .

Using the figure below, if , determine the exact value of x.

Determine the quadrant in which a 130° angle lies.

Use an inverse function to write θ\thetaθ as a function of x.

Rewrite in degree measure.

Evaluate without using a calculator.

Determine the quadrant in which an angle, θ\thetaθ , lies if radians.

After leaving the runway, a plane's angle of ascent is and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.

Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.

Find the exact value of .

Given the figure below, determine the value of .

If and , determine the value of . Round to two decimal places.

Evaluate without using a calculator.

Rewrite in radian measure as a multiple of π\piπ .

Convert to degree-decimal form. Round answer to three decimal places.

Find the angle, in radians, in the figure below if and .

Determine the quadrant in which a ° angle lies.

Rewrite in degree measure. Round to three decimal places.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x. A) B) C) D) E)$

Determine the quadrant in which an angle, $\theta$ , lies if $Determine the quadrant in which an angle, \theta , lies if radians. A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant$ radians.

Rewrite $Rewrite in radian measure as a multiple of \pi . A) B) C) D) E)$ in radian measure as a multiple of $\pi$ .