Will medal and fan! The point (2, 3) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

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Will medal and fan! The point (2, 3) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Trigonometry
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(x,y) x=cos y= sin both are positive in this order pair (2,3) so we should draw right triangle in first quadrant |dw:1442338381572:dw|
\[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]
according^^ to that where you should write 2 on the right triangle ?

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Other answers:

The top? |dw:1442339336603:dw|
cos = adjacent over hyp |dw:1442343085336:dw| y = sin= opposite
now apply Pythagorean theorem to find 3rd side of the right triangle\[\huge\rm a^2+b^2=c^2\] plugin a b values solve for c
remember `c` is the longest side of the right triangle (hypotenuse )

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