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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what is the inverse of the function f(x) = 2x+ 1?
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[tex]f(x) = 2x + 1[/tex]
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So the correct answer is (( A )) .
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what are the common factors of 42 and 28
A.1,2,4,7,14
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Answers
B 1,2,6,7,14
okay
okay
Write and solve an equation to determine the width w
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Write two numbers that multiply to the value on top and add to the value on bottom.
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Х
o
+
1
Answers
Explanation: -8 x 9 = -72 and -8 + 9 = 1
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Answer:
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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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Step-by-step explanation:
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Please give me thanks if this helped.
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Answer: Airline P since the median is lower and the SDR is lower
Step-by-step explanation:
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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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.
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Now, if a is larger than b, then a/b is larger than 1.
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10/1 = 10
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Answers
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Step-by-step explanation
There are 1000 inches equal to 2540 centimeters
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To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.
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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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i needed points to ak a question
Step-by-step explanation:
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Answers
Answer:
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Answers
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x=±√35
Step-by-step explanation:
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Step-by-step explanation:
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PLEASE HELP MEE OUTT!!
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Answers
Answer:
you will each pay $50 and 4 cents
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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this is for x
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this is for y and the midpoint is (37/42,43/28)
3)
[tex]252 \div 5 = 50.40[/tex]
I think this is the answer
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The domain is .....
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Answers
Answer:
domain is ..... 13
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Step-by-step explanation: