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:
I would rate my feelings 4 on a scale of 5
Step-by-step explanation:
Before exercising I usually feel low and heavily laden with overwhelming thoughts and the feeling doesn't seem to leave except in engage in some form of activities that will take my time and consciousness of time.
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A bathtub is being filled with water. After 10 minutes, there are
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Answer:
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Step-by-step explanation:
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d hopes this helps'
Step-by-step explanation:
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A (the first one)
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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
what is the distance between the points (0,-1) and (8,7)
Answers
[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]
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Step-by-step explanation:
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2540 centimeters are equal to how many inches ?
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:
2540 cm ÷ 2.54 = 1000 inches
Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.
Learn more about the unit conversion here:
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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:
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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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How would I do this using Volume and units. I will mark Brainiest
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Answer:
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Answer:
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PLEASE HELP MEE OUTT!!
ILL MARK UR ANSWER AS BRAINLIST
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
2)
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this is for x
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3)
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I think this is the answer
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Answers
Answer:
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Step-by-step explanation:
that is what my graphing calculator got, I hope its right
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Write and solve an equation to determine the width w
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Answers
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Answer:
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Answers
[tex]f(x) = 2x + 1[/tex]
[tex]y = 2x + 1[/tex]
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So the correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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:
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Remember two things:
for numbers like a/b.
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Answers
Answer:
6, 9, 12, 15, and 18
Step-by-step explanation:
3,6,9,12,15,18 .
Please give me thanks if this helped.
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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show your work
Answers
Answer:
x=±√35
Step-by-step explanation:
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x=±√35
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Answers
Step-by-step explanation:
This angle can be written in three different ways -
∠RST ∠S∠TSRTherefore,
Options A, B, C are correct.
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Please show steps
Answers
We know that x is a right angle. The way we find y is to add 47 + 90 which gives us 137. We also know that a right triangle adds up to 180. So, we subtract 137 from 180. This means that y would be 43 degrees.
what are the common factors of 42 and 28
A.1,2,4,7,14
B. 1,2,6,7,14
C. 1,2,4,6,7,14
D. 1,2,7,14
Need help ASP
Answers
B 1,2,6,7,14
okay
okay
pls help if u can. ty :)
Answers
Answer:
1. [tex](x+\frac{3}{2})^{2} -\frac{41}{4} }[/tex]
Step-by-step explanation: