What is the value of sinθ given that (−3,4) is a point on the terminal side of θ ?
−3/5
3/5
4/5 <my answer
−4/5
Huh? You are in trig, and cannot tell what the x- and y- coordinates are?
The point (-3,4) is at
x = -3
y = 4
since r^2=x^2+y^2, r=5.
sinθ = y/r = 4/5
You got the right answer; was it just a guess?
Draw your triangle in standard position. It is clearly a 3-4-5 right triangle.
sinθ = y/r
I'm still a bit confused
To find the value of sinθ given that (-3,4) is a point on the terminal side of θ, we can use the concept of the unit circle.
In the unit circle, the x-coordinate of a point on the circle represents the cosine value of the angle, and the y-coordinate represents the sine value of the angle.
We are given that the point (-3,4) lies on the terminal side of the angle θ. Looking at its coordinates, we see that the x-coordinate is -3 and the y-coordinate is 4.
To find the value of sinθ, we need to find the y-coordinate of the point, which is 4 in this case. Hence, the value of sinθ is 4/5.
Therefore, the correct answer is 4/5.