Question

The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is the point at which the terminal ray of angle Theta intersects the unit circle. What are the values for the cosine and cotangent functions for angle Theta? cosine theta = Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = negative 1 cosine theta = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = 1 cosine theta = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = negative one-half cosine theta = Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = one-half

Answer 1

Answer:

$\cot(x) = - 1 \: and \: \cos(x) = - \frac{ \sqrt{2} }{2}$

Step-by-step explanation:

The given point is :

$( - \frac{ \sqrt{2} }{2}, \frac{ \sqrt{2} }{2})$

This point is in the second quadrant.

This means:

$\cos(x) = - \frac{ \sqrt{2} }{2}, \sin(x) = \frac{ \sqrt{2} }{2})$

Cotangent is cosine/sine

$\cot(x)=\frac{ \frac{ \sqrt{2} }{2} }{ - \frac{ \sqrt{2} }{2} } = - 1$

Answer 2

Answer:

A.

Step-by-step explanation: