Write tan(cos^-1(- x/5)) as an algebraic Expression in terms of X. ?

Question

#Tan(Cos^-1 (- x/5)) #

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Answer 1 · 2017-04-05T21:02:45

#tan(cos^-1 (- x/5)) = pm (sqrt(25 - x^2))/(x) #

You want:

#tan(cos^-1 (- x/5)) color(blue)(= tan alpha)#

Well:

#alpha = cos^-1 (- x/5)#

#implies cosalpha = - x/5#

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So in the first instance, this is:

#tan alpha = (sqrt(25 - x^2))/(-x)#

The other possibility is:

Velazquez

#tan alpha = (- sqrt(25 - x^2))/(-x) = (sqrt(25 - x^2))/(x)#

So:

#tan(cos^-1 (- x/5)) = pm (sqrt(25 - x^2))/(x) #