The terminal point P(x, y) determined by a real number t is given. Find sin(t), cos(t), and tan(t).1717, 41717sin(t) = cos(t) = tan(t) =

The terminal point P(x, y) is given as (1717, 41717).

The terminal point P(x, y) on the unit circle corresponds to the point (cos(t), sin(t)) in the Cartesian coordinate system.

The values of sin(t) and cos(t) can be found by normalizing the coordinates of the point P(x, y) to the unit circle. This is done by dividing the coordinates by the radius r, where r is the distance from the origin to the point P(x, y).

The radius r can be found using the Pythagorean theorem: r = sqrt(x^2 + y^2) = sqrt(1717^2 + 41717^2) = sqrt(1745562890) = 41770.

So, sin(t) = y/r = 41717/41770 = 0.9987 (approx)

And, cos(t) = x/r = 1717/41770 = 0.0411 (approx)

The tangent of t, tan(t), is given by the ratio of the sine to the cosine:

tan(t) = sin(t)/cos(t) = 0.9987/0.0411 = 24.29 (approx)

So, sin(t) = 0.9987, cos(t) = 0.0411, and tan(t) = 24.29.