Find the terminal point on the unit circle determined by 3pi/4

Solution:

A unit circle will be of radius r = 1

The terminal points determined by 3π/4 on the unit circle are:

rcos(3π/4) and rsin(3π/4)

rcos(3π/4) = 1 × cos(π - π/4)

= 1 × (-cosπ/4)

= -1/√2

rsin(3π/4) = 1 × sin(π - π/4)

= 1 × (sinπ/4)

= 1/√2

The terminal point on the unit circle will be (-1/√2, 1/√2)

Find the terminal point on the unit circle determined by 3pi/4

Summary:

The terminal point on the unit circle determined by 3pi/4 is (-1/√2, 1/√2)