For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
1 answer:
Answer:
<h3>Given </h3>
<h3>To find </h3>
- Sine and cosine of the angle, using the given coordinates
<h3>Solution</h3>
Since both of the coordinates are positive, we have:
- the angle θ is in the first quadrant, both sine and cosine have positive values;
- the x-coordinate determines the value of adjacent leg;
- the y-coordinate determines the value of opposite leg.
Find the hypotenuse of the right triangle using values of both legs:
Find sine:
- <em>sine = opposite/hypotenuse</em>
Find cosine:
- <em>cosine = adjacent/hypotenuse</em>
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