Mathematics: What are the values of sin α and tan α, if: cosα=0.6

you are gonna want to multiply then do some him dim...

What are the values of sin α and tan α, if: cosα=0.6

joshajgaa

07.01.2022

Positive cosine is first or fourth quadrant. So we don't know the sign of the sine or the tangent.

Everybody's favorite right triangle is 3/4/5 and here we have

$\left(\dfrac 3 5 \right)^2 + \left(\dfrac 4 5 \right)^2 = 1$

So if

$\cos \alpha = 0.6 = \dfrac 3 5$

then

$\sin \alpha = \pm \dfrac{4}{5} = \pm 0.8$

and

$\tan \alpha = \dfrac{\sin \alpha}{\cos \alpha} = \dfrac{\pm 0.8}{0.6}=\pm \dfrac 4 3$

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