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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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.
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Answer:
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Step-by-step explanation:
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Answer:
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Write and solve an equation to determine the width w
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Answer:
A = 3.14
Step-by-step explanation:
Your equation is πR²
so 3.14(1²)
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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
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For more references on Perpendicular lines, click;
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what are the common factors of 42 and 28
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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
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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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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Answer:
x = -y
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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What is the only natural lake in Texas?
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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:
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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Step-by-step explanation:
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ILL MARK UR ANSWER AS BRAINLIST
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Answers
Answer:
you will each pay $50 and 4 cents
Step-by-step explanation:
Answer:
2) (37/42,43,28)
3) $50.40
Step-by-step explanation:
2)
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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:
Answer:
(4b+t)/2=a
Step-by-step explanation:
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Step-by-step explanation:
This angle can be written in three different ways -
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Answers
Answer:
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Step-by-step explanation:
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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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Answer:
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Step-by-step explanation:
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Х
o
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Answers
Explanation: -8 x 9 = -72 and -8 + 9 = 1
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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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10/1 = 10
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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.
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brainly.com/question/11543684
#SPJ6
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Answer:
Sphere:
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what is the inverse of the function f(x) = 2x+ 1?
A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2
Answers
[tex]f(x) = 2x + 1[/tex]
[tex]y = 2x + 1[/tex]
Subtract sides -1
[tex]y - 1 = 2x + 1 - 1[/tex]
[tex]y - 1 = 2x[/tex]
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Divided sides 2
[tex] \frac{2}{2}x = \frac{y - 1}{2} \\ [/tex]
[tex]x = \frac{1}{2}y - \frac{1}{2} \\ [/tex]
Thus ;
[tex] {f}^{ - 1} = h(x) = \frac{1}{2}x - \frac{1}{2} \\ [/tex]
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So the correct answer is (( A )) .
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find the rate of change for the table, then fill in the blank boxes with the correct values
Answers
Answer:
Rate of change: +2 for x values and +20 for y values
Missing x values:6
Missing y values:60,80,100
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]
Answer:
11.3
Step-by-step explanation:
11.3