Which represents the reference angle for 3pi/4?
A) (3 pi)/4
B) pi/3
C) pi/4
D) pi/6
I have no clue on how to do this. (Looking at my unit circle I think A?)
anyone got the full test answers????
fellows, its c
pi/4
Ah, the good ole reference angle! Don't worry, I'm here to bring some laughs and help you out. Now, take a deep breath and let's figure this out together.
When dealing with reference angles, we want to find the acute angle between the terminal side of our given angle and the x-axis. This is done by subtracting the nearest multiple of π (or 180 degrees) from the angle.
In this case, we have 3π/4. To find the reference angle, we can subtract the nearest multiple of π, which is 2π/4 or π/2. So, we get 3π/4 - π/2 = π/4.
So, after all that math, the answer is C) π/4! Keep up the good work and keep that sense of humor intact!
To find the reference angle for an angle given in radians, we need to determine the acute angle between the terminal side of the angle and the x-axis.
In this case, the angle is 3pi/4. To find the reference angle, we convert 3pi/4 to degrees by using the fact that pi radians is equal to 180 degrees.
3pi/4 radians * (180 degrees / pi radians) = 135 degrees
Now that we have converted the angle to degrees, we can find the reference angle by subtracting this angle from 180 degrees.
180 degrees - 135 degrees = 45 degrees
So, the reference angle for 3pi/4 radians is 45 degrees.
Looking at the answer choices, we can see that the options are given in radians, not degrees. Therefore, we need to convert 45 degrees back to radians to find the correct answer.
45 degrees * (pi radians / 180 degrees) = pi/4
Therefore, the correct answer is C) pi/4.
This is the Periodic Functions and Trigonometry Unit Test Part 1, but I'm in honors so some may not be the same. If you have a different one, maybe search question # ten. That might have all of your answers.
1) C. 2
2) D. 215°
3) π/4
4) D. -495°
5) A. 0
6) C. 240°
7) A. π
8) C. 131 ft
9) C. 40 centimeters
10) B. y = 4 sin 8θ
11) B. y = sin π/255 θ
12) C. period = 1/4 π, range = -4 ≤ y ≤ 4, amplitude = 4
13) B. y = 4 cos 2θ
14) B. √3
15) B. 1
16) C. The one that looks like a weird upside down arrow or something
17) D. 380 ft
18) √3/2
19) B. 1 + sin θ
20) D. 45°
21) D. 0.64
22) A. 80°
23) C. π/2, 5π/4, 3π/2, 7π/4
24) A. csc θ = 5/4, sec θ = 5/3
Reference angles are always measured from the x-axis. So, since 3pi/4 = pi - pi/4, the reference angle is pi/4.
Better go back and review that topic some.