what is the sin of 225 degrees in fraction form

Question

0

5445

5

Guest Oct 25, 2014

+23254

+5

Best Answer

If you place this angle on a graph, it will be in the third quadrant, 45° below the x-axis.

The sides of a 45° - 45° - 90° triangle are 1 - 1 - √(2)

Labeling the three sides: the hypotenuse is '1', the horizontal (x-value) is '-1', and the vertical (y-value) is also '-1'.

The value of sin is the y-value divided by the hypotenuse: sin(225°) = - 1 / √(2).

Rationalizing the denominator, sin(225°) = - √(2 / 2).

geno3141 Oct 25, 2014

geno3141 · Answer 1 · 2014-10-25T11:10:17

If you place this angle on a graph, it will be in the third quadrant, 45° below the x-axis.

The sides of a 45° - 45° - 90° triangle are 1 - 1 - √(2)

Labeling the three sides: the hypotenuse is '1', the horizontal (x-value) is '-1', and the vertical (y-value) is also '-1'.

The value of sin is the y-value divided by the hypotenuse: sin(225°) = - 1 / √(2).

Rationalizing the denominator, sin(225°) = - √(2 / 2).

Guest · Answer 2 · 2014-10-26T10:27:35

is it ${\frac{{\mathtt{225}}}{{\mathtt{360}}}} = {\frac{{\mathtt{5}}}{{\mathtt{8}}}}$ ?

Melody · Answer 3 · 2014-10-27T12:14:14

No anon, it is the sine of the angle that is wanted.

robtre · Answer 4 · 2014-10-27T12:49:49

oh, okay...

robtre · Answer 5 · 2014-10-27T12:52:16

you know, that it was ${\frac{{\mathtt{5}}}{{\mathtt{8}}}}$ .