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

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

So if

then

and

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.