How do you find the exact values of the six trigonometric functions of theta if the terminal side of θ in standard position contains the point (-1,4)?

Question

3457 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-08T04:41:11

Given M (-1, 4), the origin O and the axis Ox.

#The angle (Ox, OM) is: 90 deg + arc (tan (1/4)) = 90 + 14.04 = 104. 04#

sin 104,04 = 0.97 (calculator)

cos 104.04 = -0.24

#tan 104,04 = 0.97/-0.24 = -4.04#

#cot 104.04 = -1/4.04 = -0.25#

#sec 104.04 = 1/-0.24 = -4.17#

#csc 104.04 = 1/0.97 = 1.03#