Question

For tan 5pi/4, sketch the angle and identify the terminal point and tangent of the angle

Answer 1

• See picture attached and explanation below, please.

Step-by-step explanation:

• 5π/4 = π + π/4

So, to sketch the angle 5π/4 you goe π radians, which is half-circle or 180°, counterclockise, and continue π/4 radians, which is 45°.

Then, the terminal point will be on the third quadrant, 45° below the negative y-axis.

In that quadrant, both x-coordinate and y-coordinate are negatives, and the tangent is positive.

In conclusion, the reference angle is π/4 and the tangent is positive, so you obtain:

• tan 5π/4 = tan π/4 = 1

A picture with the sketch is attached.