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UkoKoshka [18]
3 years ago
14

Q#3. if cos x = sqrt(2)/2, and 3pi/2 < x < 2pi, what is sin(x + pi/3)

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))


#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.


#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).


#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5


Hope this helped :L

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Given:
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Mrs. R                                        7.50
2 children @ 4.99 each       <u>      9.98</u>
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Sales tax 7.25%                        1.72        *23.73 x 7.25%
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Grand total                            $29.01


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A farn stand sells apple pies
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3 years ago
How do I solve this?
serg [7]

Answer:

  (x, y) = (18, 5)

Step-by-step explanation:

Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:

  3x +49 = 7x -23

  72 = 4x . . . . . . . . . add 23-3x

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Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.

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3 years ago
Alberto spent $115 on shirts T-shirts cost $10 and long sleeve shirts cost $15 if he bought a total of nine then how many of eac
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4 T-shirts and 5 long sleeves shirts.

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T-shirt cost =$10

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