What is the exact value of Cosine (StartFraction 11 pi Over 21 EndFraction) cosine (StartFraction pi Over 7 EndFraction) minus sine (StartFraction 11 pi Over 21 EndFraction) sine (StartFraction pi over 7 EndFraction)?
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answers
Answer:
Option (2)
Step-by-step explanation:
Given trigonometric expression is,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]
This expression is in the form of an identity,
cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]
= cos[tex](\frac{11\pi+3\pi}{21})[/tex]
= cos[tex](\frac{14\pi}{21})[/tex]
= cos[tex](\frac{2\pi}{3})[/tex]
= -[tex]\frac{1}{2}[/tex]
Therefore, Option (2) will be the answer.
Answer:
B. -1/2
Step-by-step explanation:
on edge
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Answer:
-9 is the correct answer of this question.Thank you ☺️☺️
PLEASE HELP MEE OUTT!!
ILL MARK UR ANSWER AS BRAINLIST
2) Find the midpoints of the line segment with endpoints ( 4 12, 5/2) and ( 10/7, 4/7)
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Step-by-step explanation:
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Step-by-step explanation:
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I think this is the answer
find the rate of change for the table, then fill in the blank boxes with the correct values
Answers
Answer:
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A bathtub is being filled with water. After 10 minutes, there are
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Step-by-step explanation:
what is the distance between the points (0,-1) and (8,7)
Answers
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Step-by-step explanation:
11.3
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Answers
Answer:
a= -t-4b/-2
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
Sphere:
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How you explain the can you compare how you feel right now with how you felt before we started with the relaxation activity? On a scale 1-5 .5 being the highest rate your level of stress before and after we started with the exercise.Did the levels change?
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Answer:
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Step-by-step explanation:
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Answers
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Answers
[tex]f(x) = 2x + 1[/tex]
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So the correct answer is (( A )) .
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Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1
Answers
Explanation: -8 x 9 = -72 and -8 + 9 = 1
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Hope this helps! :D
what are the common factors of 42 and 28
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okay
okay
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Answer:
d hopes this helps'
Step-by-step explanation:
Answer:
A (the first one)
Step-by-step explanation:
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Answers
Answer:1000
Step-by-step explanation
There are 1000 inches equal to 2540 centimeters
Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.
To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:
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Learn more about the unit conversion here:
brainly.com/question/11543684
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
A = 3.14
Step-by-step explanation:
Your equation is πR²
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Answer:
A=3.14 square meters
Step-by-step explanation:
Use the equation A=3.14*r^2.
Sub in the numbers you know so 1.
A=3.14*1^2
Simplify.
A=3.14 square meters
USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.
Answers
Answer:
We want to craft:
a/b and c/d
where a, b, c and d can be 2, 3, 4 and 5.
Such that the distance in the number line between these two numbers is maximized.
Then we want one number to be really small, and the other to be really large.
Remember two things:
for numbers like a/b.
if a is smaller than b, then a/b is smaller than 1.
Now, if a is larger than b, then a/b is larger than 1.
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1/10 = 0.1
10/1 = 10
So when the numerator is larger, the distance displaced in the number line is larger.
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a number where the numerator is the largest option and the denominator is the smallest option:
a/b = 5/2
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D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.
The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD
Answers
Answer:
-3/2
Step-by-step explanation:
you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2
The slope of line CD is = -3/2
What are Perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line.
Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.
Slope of perpendicular lines are negative reciprocal of each other, so,
Hence, The slope of line CD is = -3/2
For more references on Perpendicular lines, click;
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