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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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.

Mathematics
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So can you explain that? lol
it is the representation of your problem

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Other answers:

now, we can write this: \[\Large OP = \sqrt {{2^2} + {3^2}} = ...\]
what is OP?
I have applied the Theorem of Pitagora to the triangle OP1P
the sin tan and cos?
yes, we have to compute OP first
ok
hint: \[\Large OP = \sqrt {{2^2} + {3^2}} = \sqrt {4 + 9} = ...?\]
is it just square root of 13
yes!
so thats the answer
for all three
no, since we have to apply these formulas: \[\Large \begin{gathered} \cos \theta = \frac{{O{P_1}}}{{OP}} = \frac{2}{{\sqrt {13} }} = ... \hfill \\ \hfill \\ \sin \theta = \frac{{P{P_1}}}{{OP}} = \frac{3}{{\sqrt {13} }} = ... \hfill \\ \end{gathered} \]
finally, by definition, we can write: \[\Large \tan \theta = \frac{{P{P_1}}}{{O{P_1}}} = ...\]
3/2?
yes!
sweet thanks for the help!
:)

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