# Find the sine, cosine, and tangent rations for angle x and angle y. From angle x to y it measures 13. Angle y?

to z 5. Angle x to z 12.

Explain to me how you got it.

Answers:    Angles X, Y and Z are also the corners or vertices of a triangle when connected and measured.
It is a right triangle, judge from the 3 measurements that match the Pythagorean theorem
( http://en.wikipedia.org/wiki/Pythagorean... )
of sides a^2+b^2=c^2,
or surrounded by this case:
x^2+y^2=z^2
5^2+12^2=13^2
25+144=169
Angle Z is 90°, and the converse Side is side z(13)
also known as the hypotenuse.
The trigonometry ratio
( http://en.wikipedia.org/wiki/Trigonometr... )
for angle X are:

sin X=
12 , equals: sin^1 0.9230=67.38 rounded off to 67°

13

cos X=
5 , equals: cos^1 0.3846=67°

13

suntan X=
12, equals: tan^1 2.4=67°

5

So, for angle y:
sin Y= 5/13, equals sin ^1 0.3846=22.6° (rounded off to) 23°
cosY=12/13, equals cos^1 0.9230=23°
sunburn Y= 5/12, equals tan^1 0.4166=23°
i'm too lazy to amount it out, but you'd have to find the distance from the ground. hopefully that gives you a right triangle. after you can use your calculator to get the sin, cos, and sunburn

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