Question 1204867
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Find the exact values of sin θ, cos θ, and tan θ if the terminal arm of ∠θ in standard position contains the given point.
P(-8, 15)
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<pre>
Point P is in QII, 2-nd quarter.

Its x-coordinate is -8.

Its y-coordinate is 15.

Its distance from the origin is  r = {{{sqrt(x^2+y^2)}}} = {{{sqrt((-8)^2+15^2)}}} = {{{sqrt(289)}}} = 17.


{{{sin(theta)}}} = {{{y/r}}} = {{{15/17}}} = 0.88235  (rounded).


{{{cos(theta)}}} = {{{x/r}}} = {{{(-8)/17}}} = {{{-8/17}}} = -0.47059  (rounded).


{{{tan(theta)}}} = {{{y/x}}} = {{{15/(-8)}}} = {{{-15/8}}} = -1{{{7/8}}} = -1.875  (exact value).
</pre>

Solved, with complete explanations (without excessive words).


For {{{sin(theta)}}} and {{{cos(theta)}}}  you have exact values (fractions) 
and decimal expressions, that are rounded (approximate) values.