find the sine and cosine of the angle t in (0, 2π). in standard position, whose terminal side intersects the…

find the sine and cosine of the angle t in (0, 2π). in standard position, whose terminal side intersects the unit circle at the point p = (-√2/2, -√2/2). answer exactly. sin(t) = cos(t) = question help: video message instructor

find the sine and cosine of the angle t in (0, 2π). in standard position, whose terminal side intersects the unit circle at the point p = (-√2/2, -√2/2). answer exactly. sin(t) = cos(t) = question help: video message instructor

Answer

Explanation:

Step1: Recall the unit - circle definition

For a point (P=(x,y)) on the unit circle (x^{2}+y^{2} = 1) and an angle (t) in standard position whose terminal side passes through (P), (\sin(t)=y) and (\cos(t)=x).

Step2: Identify (x) and (y) values

Given (P=\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)), here (x =-\frac{\sqrt{2}}{2}) and (y=-\frac{\sqrt{2}}{2}).

Answer:

(\sin(t)=-\frac{\sqrt{2}}{2}) (\cos(t)=-\frac{\sqrt{2}}{2})