Use the rated acute angle to state an equivalent expression
Tan110
The answer is tan290. Why isn't it 70? Please explain
tan 110 is negative (-2.75)
tan 70 is positive ( +2.75)
to have negatve tangent the angle must be in quadrants 2 or 4
tan 290 = -2.75 same as tan 110
How would you figure it out using a Cartesian plane?
And assuming you didn't know the answer was tan290, how would you get tan290 (because I'm supposed to arrive at the answer without knowing the answer..)?? Because the question is just asking for the equivalent expression of tan110, I just got tan70, which is why I wanted to know why that didn't work.
Okay, that seems really confusing. So in essence, I really just want to know how to find the equivalent expression using the related acute angle, tan110
Sorry, I still don't understand... I know I seem really dumb right now, but this unit just isn't working for me for some reason.. I'm usually pretty decent at math. We just started grade 11 trig and I'm totally lost after the first lesson.
I understand that it's in quadrant four, but how did you know that tan110 was equal to tan290? I mean, if I never told you the answer was tan290, how would you have arrived at the answer? I'm sure you wouldn't just do it by trial and error. I feel like I'm just missing a really simple concept here...
90 + 20 = 110
90 - 20 = 70
270 - 20 = 250
270 + 20 = 290
Preferably in terms of a Cartesian plane.
I gave you the plane
110 is in quadrant 2
x - negative, y is positive
you need the other quadrant where x and y have opposite signs
that is quadrant 4 where x is positve and y is negative
sketch it on your x y plane !