Tangent and Unit Circle

a line that intersects the circle at exactly one place.

• diameter

• tangent

• secant

• chord

the point at which the tangent line intersects the circle

• point of tangency

• tangent

• secant

• diameter

What is Line LQ?

• secant

• tangent

• chord

• radius

Which of the following points is in the unit circle?

• (1 / 2 , 1 / 2)

• (-√2 / 2 , -√2 / 2)

• (√2 / 3 , -√2 / 3)

• (3 / 2 , 2 / 3)

Using the unit circle, explain how you can find the value of tangent of an angle both visually and algebraically. Use pi/4 as an example.

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Based on the unit circle, what is the value of tan?

• y/r

• x/r

• r/y

• y/x

Answer explanation

The cos is always the x coordinate divided by the radius. With the unit circle that radius is 1

How do you find tangent based on the unit circle?

• 1/y

• x/y

• y/x

• 1/x

Using the unit circle x-values correspond to ​ (a)   , y-values correspond to ​ (b)   , and y-values divided by x-values correspond to ​ (c)  

• cosine

• sine

• tangent

• secant

• cosecant

• cotangent

• undefined

Answer explanation

• undefined

Answer explanation