How do you find the values of the other trigonometric functions of θ from the information given $cos θ = − 5/8$ , $tan θ < 0$ ?

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Answer 1 · 2015-06-16T04:04:32

cos x = -5/8. Find other trig functions.

$sin^2 x = 1 - cos^2 x = 1 - 25/64 = 39/64 = 0.61 -> sin x = 0.78$

$tan x = sin x/cos x = 0.78/-0.625 = -1.25$

$cot x = 1/-1.25 = - 0.80$

$sec x = 1/cos x = -8/5 = - 1.60$

$csc x = 1/ sin x = 1/0.78 = 1.28$

How do you find the values of the other trigonometric functions of θ from the information given cos θ = − 5/8cos θ = − 5/8 , tan θ < 0tan θ < 0?