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likoan [24]
2 years ago
5

The point (- square-root 2/2, square-root2/2 is the point at which the terminal ray of angle theta intersects the unit circle. W

hat are the values for the cosine and cotangent functions for angle theta?

Mathematics
2 answers:
Rufina [12.5K]2 years ago
7 0

Answer: The value of cosine is \frac{-\sqrt{2}} {2} and the value of cotangent is -1.

Explanation:

The given point is (\frac{-\sqrt{2}} {2}},\frac{\sqrt{2}} {2}).

Since the x coordinate is negative and y coordinate is positive so the point must be lies in second quadrant.

The distance of the point from the origin is,

r=\sqrt{(\frac{-\sqrt{2}} {2}-0)^2+(\frac{\sqrt{2}} {2}-0)^2}

r=\sqrt{ \frac{2}{4}+\frac{2}{4}}

r=1

The given point is in the form of (a,b). So we get,

a=\frac{-\sqrt{2}} {2}

b=\frac{\sqrt{2}} {2}

The formula for cosine,

\cos \theta =\frac{a}{r}

\cos \theta =\frac{\frac{-\sqrt{2}} {2}}{1}}

\cos \theta =\frac{-\sqrt{2}} {2}}

The formula for cotangent,

\cot \theta =\frac{a}{b}

\cos \theta=\frac{\frac{-\sqrt{2}} {2}}{\frac{\sqrt{2}} {2}}

\cos \theta=-1

Therefore, the value of cosine is \frac{-\sqrt{2}} {2} and the value of cotangent is -1.

oee [108]2 years ago
7 0

Answer:a

Step-by-step explanation:

edge

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