Respuesta :

Answer:

  • See picture attached and explanation below, please.

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.

Ver imagen Edufirst