Given cos x = -3/4 and sin x is negative, what are the values of the remaining trigonometric functions?

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Given cos x = -3/4 and sin x is negative, what are the values of the remaining trigonometric functions?

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Answer 1 · 2016-05-21T04:03:23

Find values of trig functions

Explanation:

Use the trig identity: #sin^2 x + cos^2 x = 1#
#cos x = -3/4# --> #sin^2x = 1 - (9/16) = 7/16# ---> #sin x = - (sqrt7)/4#
#tan x = sin x/(cos x) = - (sqrt7)/3#
#cot x = - 3/sqrt7 = - (3sqrt7)/7#
#sec x = 1/(cos x) = -4/3#
#csc x = 1/(sin x) = -4/sqrt7 = - (4sqrt7)/7#

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Given cos x = -3/4 and sin x is negative, what are the values of the remaining trigonometric functions?

1 Answer

Explanation:

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