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)?

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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

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

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

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

$csc 104.04 = 1/0.97 = 1.03$