Find the exact value of tan 5pi / 4. no decimals are allowed, no calculators are allowed. show your work.
part 1: sketch the angle. identify the reference angle on your sketch.
part 2: identify the terminal point associated with the angle, then find the tangent of the angle.

Step-by-step explanation:

Most people are more familiar with degrees than with radians. So perhaps what is giving a bad time is the pi/4

pi/4 = 45 degrees.

Tangent of 45 degrees is 1. So part A is  = 5 * 45 degrees = 225 degrees which is in the 3 rd quadrant. (Remember that the 4 goes into defining the 45 degree angle from pi/4 radians.)

The tangent is positive in quad 3. So you draw a line 1/2 way between the minus x and minus y axis to get 5/4 pi.

The tangent of the angle is 1. The terminal point is (-1 , - 1)

The exact value of is 1.

The reference angle is

The terminal point is .

Step-by-step explanation:

The given expression is

Since , so it lies in third quadrant.

We need to find the exact value of given expression.

In third quadrant, tangent is positive.

Part 1: Reference angle for third quadrant is

Therefore the reference angle is .

Part 2: Terminal point associated with the angle be (x,y).

For a unit circle hypotenuse is 1, perpendicular is y and base is x.

In third quadrant sine and cosine both are negative. So the terminal point is .

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step-by-step explanation:

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