tan ? =-1 is this possible

Question

Is this even possible 

Answer 1

Hi Josie,

 

tan ? =-1 is this possible
Is this even possible

 

Yes Josie this is possible.

 

In quadrant I, the tan 45°=1

The sin 45°=√(2)/2

The cos 45°=√(2)/2

 

The tan 45°=sin 45°/cos 45°=1

 

So now you need to think: "In what Quadrants is tan negative?"

Tangent is negative in quadrant II and IV  where sine and cosine have different signs. 

A unit circle would really be helpful in this process.

 

tan 135°  in Quad II and tan 315° in Quad IV

 

If you are working in radians, 135°=3pi/4   and 315°=7pi/4.

 

Hope this helps you out...