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lisabon 2012 [21]
3 years ago
14

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

Mathematics
1 answer:
olganol [36]3 years ago
6 0

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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