The point P on the circle x2 + y2 = r2 that is also on the terminal side of an angle θ in standard position is given. Find the i
ndicated trigonometric function.
(3, 4) Find sin θ.
the answer options are attached, if you could show the work or formula that would be great Thanks!
(3, 4) Find sin θ.
the answer options are attached, if you could show the work or formula that would be great Thanks!
1 answer:
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Answer:
- <u>You are right, the coordinates are</u>:
Explanation:
Here is how you can proove that you are right.
Note that m is the x-coordinate of the point . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in
.
The distance from to the y-axis is not
but
.
That is the same distance from the point with the missing coordinates to the point (h,0).
Then, the missing x-coordinate is
Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).
Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).