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 .

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )