1 Answer | Add Yours
The terminal arm of the angle contains the point, x=3 and y =4
Therefore we can draw a triangle restricted by the following lines,
the terminal arm of the angle, x-axis and x = 3 line.
The length of the terminal arm of that triangle can be found by the pythagorean theorem.
The pythagorean theorem says if a and b length are perpendicular in a right angled triangle, the other length c, which is facing the right angle is given by,
`c = sqrt(a^2+b^2)`
so the length of the side of the triangle facing the right angle is,
`c = sqrt(3^2+4^2) = sqrt(9+16) = sqrt(25) = 5`
Therefore from that angle you get (let's call the angle as A):
`sin(A) = 4/5 = 0.8`
`cos(A) = 3/5 = 0.6`
`tan(A) = 4/3 = 1.3333`
We’ve answered 319,186 questions. We can answer yours, too.Ask a question