Saturday, January 18, 2014

if cosx = 0.25 find sinx, tanx

To calculate the value of the function tan x, we'll use
the formula:


(tan x)^2 +  1 = 1/(cos
x)^2


(tan x)^2 = 1/(cos x)^2 -
1


tan x = +/-sqrt [1/(cos x)^2 -
1]


tan x = +/- sqrt (16-1)


tan
x = +/- sqrt15


We'll calculate the value of sin x, using
the formula:


tan x = sin x / cos
x


sin x = tan x * cos x


sin x
= (+/- sqrt15) * (1/4)


The values of tanx and sin x could
be positive or negative, depending on the quadrant where the angle x is
located.

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