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:
WHERES THE QUESTION?
Step-by-step explanation:
The answer to your problem is C
Answer:
1.) 6
2.) -1
3.) 36
4.) 1/3
5.) 90
Step-by-step explanation:
1.) -12/a
-12/a -> -12/2
=6
2.) a+ (-b)
a+(-b) -> 2+(-3)
=-1
3.) 3a (12-2b)
3a(12-2b) -> 3(2) (12-2x3)
6(12-6)
6(6)
=36
4.) 2a-c/b
2a-c/b -> 2(2)-5/3
4-5/3
=1/3
5.) 3abc
3abc-> 3x2x3x5
=90
