Tan 5pi 4

Asked by wiki @ 15/06/2021 in Mathematics viewed by 186 People

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.

Answered by wiki @ 15/06/2021

Answer:

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)

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Asked by jasmine46 @ 24/10/2022 in English viewed by 323 persons

Tan 5pi 4

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