If the measure of angle θ is 3π/4, the true statements are:
- sin(θ) = √2/2.
- The measure of the reference angle is 45°.
<h3>How to determine the true statements?</h3>
In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 135
Reference angle = 45°.
Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.
tan(θ) = cos(θ)/sin(θ)
tan(θ) = [(-√2/2)/(√2/2)]
tan(θ) = -1
In conclusion, we can logically deduce that only options A and B are true statements.
Read more on terminal point here: brainly.com/question/4256586
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Complete Question:
If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.
A. sin(θ)=sqrt2/2
B. The measure of the reference angle is 45
C. The measure of the reference angle is 30
D. The measure of the reference angle is 60
E. cos(θ)=sqrt2/2
F. tan(θ)=1
Answer:
b = -9
Step-by-step explanation:
1. Move the variables to the left side. Be sure to change the terms (add/subtract)
-9b-6 = -3b+48
-9b+3b-6 = 48
2. Combine like terms.
-9b+3b-6 = 48
-6b = 48 + 6
3. Divide both sides by -6.
-6b = 54
b = -9
You know angles B and C are both 60°, the values of the angles in an equilateral triangle. Since the sum of angles in a quadrilateral is 360°, you have
B + C + x + y = 360°
60° +60° + x + y = 360°
x + y = 240°
Answer: umm I think the best estimate would be$37.38
Step-by-step explanation:
