JayDelV
  • JayDelV
Sine, Cosine, and Tangent of 45 degrees?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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UnkleRhaukus
  • UnkleRhaukus
|dw:1439360650195:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1439360684499:dw|
UnkleRhaukus
  • UnkleRhaukus
we need to set the lengths of the sides of the triangle for simplicity we can set the adjacent side to be 1

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More answers

UnkleRhaukus
  • UnkleRhaukus
what will the other sides of the triangle be if the adjacent side is 1?
JayDelV
  • JayDelV
Wait what do you mean?
JayDelV
  • JayDelV
This is actually a timed test and I'm super tired
UnkleRhaukus
  • UnkleRhaukus
|dw:1439361178381:dw|
UnkleRhaukus
  • UnkleRhaukus
(notice it is an isosceles triangle )
JayDelV
  • JayDelV
I forgot how to do this and I don't have a calculator with me. Is there another way?
UnkleRhaukus
  • UnkleRhaukus
this way doesn't need a calculator
UnkleRhaukus
  • UnkleRhaukus
[isosceles triangle have a pair of sides of equal length]
UnkleRhaukus
  • UnkleRhaukus
[the sides of equal length, will be opposite to the angles of equal measure]
JayDelV
  • JayDelV
Ohhhhhhh so 1
UnkleRhaukus
  • UnkleRhaukus
yes
UnkleRhaukus
  • UnkleRhaukus
|dw:1439361833342:dw|
UnkleRhaukus
  • UnkleRhaukus
now \[\tan\theta = \frac{\text{opp}}{\text{adj}}\]
UnkleRhaukus
  • UnkleRhaukus
so tan 45° = / =
UnkleRhaukus
  • UnkleRhaukus
What do you get?
JayDelV
  • JayDelV
so confused but 1/ over something, I'm not sure what the hypotenuse is
UnkleRhaukus
  • UnkleRhaukus
we don't need the hypotenuse for tan (we will need it for sine and cosine)
JayDelV
  • JayDelV
oh opposite adjacent
JayDelV
  • JayDelV
sorry
JayDelV
  • JayDelV
1/1
UnkleRhaukus
  • UnkleRhaukus
Great! which simplifies to 1 So we have tan 45° = 1
UnkleRhaukus
  • UnkleRhaukus
now we need to work out the length of that hypotenuse. we have a right angled triangle, so we can use Pythagorus a^2 + b^2 = c^2 where a and b are the adj and opp, and c is the hypo
UnkleRhaukus
  • UnkleRhaukus
so hypo = √( adj^2 + opp^2 )
UnkleRhaukus
  • UnkleRhaukus
plug in adj = 1, opp = 1
UsukiDoll
  • UsukiDoll
that's one of the standard triangles. |dw:1439362733572:dw|
UnkleRhaukus
  • UnkleRhaukus
why remember, when you can work it out
UsukiDoll
  • UsukiDoll
\[\tan 45 = 1 , \sin 45 = \frac{1}{\sqrt{2}}, \cos 45 = \frac{1}{\sqrt{2}} \]
UnkleRhaukus
  • UnkleRhaukus
why bother to learn pythag. and triangle geometry ?
JayDelV
  • JayDelV
Thank you both :)

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