anonymous
  • anonymous
Name five x values for which the sine function equals to 0. Please help!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Mertsj
  • Mertsj
Are you familiar with the unit circle?
anonymous
  • anonymous
no
Mertsj
  • Mertsj
Then find the inverse sine of 0 and and 360 to that answer repeatedly until you have 5 values.

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More answers

anonymous
  • anonymous
how?
Mertsj
  • Mertsj
With your calculator
anonymous
  • anonymous
I don't know how though
Mertsj
  • Mertsj
inverse sin 0 enter
Mertsj
  • Mertsj
What in the world are you doing that you don't know anything about the unit circle and don't know how to use your calculator?
anonymous
  • anonymous
i put sin 0 enter and the answer was 0 how do i get 5 values?
anonymous
  • anonymous
trying to learn from an oonline classs
Mertsj
  • Mertsj
|dw:1375670932781:dw|
Mertsj
  • Mertsj
Have you ever seen that before?
anonymous
  • anonymous
yeah
Mertsj
  • Mertsj
That is the unit circle. It is called the unit circle because the radius is 1 unit. The sin is like y.
Mertsj
  • Mertsj
Do you see that the y value is 0 at 0 degrees and 180 degrees?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
Your problem says to give 5 values for which the sin is 0. There are two of them right there: 0 degrees and 180 degrees. If we would go around the circle another time, we would come to 360 degrees and 180+360 which is 540 degrees. Are you with me?
anonymous
  • anonymous
sorta.. so it would be 0,180,540?
Mertsj
  • Mertsj
0,180,360,540... Just keep adding 180 degrees because every 180 degrees, the y value (which is the sin) is 0.
Mertsj
  • Mertsj
Or, instead of rotating counterclockwise, we could go clockwise and then the angles would be -180, -360, -540, ...
anonymous
  • anonymous
ohh ok thank you! i have the same question exept its cosine value
Mertsj
  • Mertsj
Same thing except the cosine is like x.
Mertsj
  • Mertsj
So where is the cosine 0 on the unit circle?
anonymous
  • anonymous
um im not sure
Mertsj
  • Mertsj
Look at the picture I drew. For what angles is the x value 0?
Mertsj
  • Mertsj
|dw:1375671563924:dw|
Mertsj
  • Mertsj
How many degrees is that?
anonymous
  • anonymous
90?
Mertsj
  • Mertsj
Yes.
Mertsj
  • Mertsj
And what is the next angle where the x value is 0?
anonymous
  • anonymous
so it would be 90 180...?
Mertsj
  • Mertsj
|dw:1375671659091:dw|
anonymous
  • anonymous
270?
Mertsj
  • Mertsj
yes. so the x value is 0 at 90, 270, 450, 630...
anonymous
  • anonymous
thank you soo much i just have one more
Mertsj
  • Mertsj
Or at -90, -270, -450...
anonymous
  • anonymous
same but tangent function
Mertsj
  • Mertsj
Do you know the definition of tangent?
anonymous
  • anonymous
umm no
Mertsj
  • Mertsj
tangent is equal to sin over cos Have you ever heard that?
anonymous
  • anonymous
i think ive heard it
Mertsj
  • Mertsj
\[\tan x=\frac{ \sin x}{\cos x}\]
Mertsj
  • Mertsj
The only way a fraction can be 0 is for the numerator to be 0. So the tangent is 0 whenever the sin is 0
anonymous
  • anonymous
ok so then wht
Mertsj
  • Mertsj
Are you trying to answer this question: Give 5 angles who tangent is 0?
anonymous
  • anonymous
the question is name five x values for which the tangent function equals to 0
Mertsj
  • Mertsj
Could you answer this question: Name five x values for which the sine function equals to 0?
anonymous
  • anonymous
yeah we already did that one
Mertsj
  • Mertsj
So did you read this post which I made a few moments ago: "The only way a fraction can be 0 is for the numerator to be 0. So the tangent is 0 whenever the sin is 0"
anonymous
  • anonymous
yeah i read it but i don't understand
Mertsj
  • Mertsj
The sin of 180 degrees is 0. Therefore the tangent of 180 degrees is also 0 The sin of 0 degrees is 0. Therefore the tangent of 0 degrees is also 0 The sin of 360 degrees is 0. Therefore the tangent of 360 degrees is also 0 The sin of 540 degrees is 0. Therefore the tangent of 540 degrees is also 0.
anonymous
  • anonymous
so my answer would be exactly the same as the sine one?
Mertsj
  • Mertsj
Let's make sure you understand this.
Mertsj
  • Mertsj
What is the sin of 180 degrees?
anonymous
  • anonymous
0
Mertsj
  • Mertsj
What is the cosine of 180 degrees?
Mertsj
  • Mertsj
\[\tan 180^{o}=\frac{\sin 180^{o}}{\cos 180^{o}}=\frac{0}{-1}=0\]
Mertsj
  • Mertsj
I guess you've gone. Good luck.
anonymous
  • anonymous
yeah i get it thank you soo much!!!!

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