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:
All but the first answer choice could be the length and width of a rectangle.
Step-by-step explanation:
3 cm and 8 cm produce 24 cm^2 when multiplied together. Reject.
1 cm and 20 cm, when multiplied together, result in 20 cm^2. Select.
2 cm and 10 cm => 20 cm^2 Select
4 cm and 5 cm => 20 cm^2. Select
Answer:
4/5 minute or 12 seconds
Step-by-step explanation:
1/4 page= 12 seconds
1 page = 48 seconds
48/60
24/30
8/10
4/5
Answer:
Step-by-step explanation:
Answer:
Combine the terms
300 + 70 = 370
5/10 + 8/100
Note that first, you must find common denominators. What you multiply to the denominator, you multiply to the numerator. Multiply 10 to the numerator and denominator of 5/10
(5/10)(10/10) = 50/100
50/100 + 8/100
Combine the terms
50/100 + 8/100 = 58/100
370 58/100 is another way to write it
