SOLUTION: Check ALL of the statements below that are true, given following information. It is recommended to draw the triangle on the coordinate plane. cosθ=-15/17 ​ and tan

Algebra ->  Exponents -> SOLUTION: Check ALL of the statements below that are true, given following information. It is recommended to draw the triangle on the coordinate plane. cosθ=-15/17 ​ and tan      Log On


   

Question 1171881: Check ALL of the statements below that are true, given following information. It is recommended to draw the triangle on the coordinate plane.

cosθ=-15/17
​
and tanθ>0
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
The cosine is negative in QII and QIII
The tangent is positive in QI and QIII

So the angle θ is in QIII

The angle θ is indicated by the red curved line swinging counter-clockwise 
around from the right side of the x-axis to the terminal side in QIII.
We draw the terminal side (in blue) of θ in QIII

Cosine is adjacent/hypotenuse = x/r, so we label x = adjacent = -15 (negative
because it goes left).

The value of y must be calculated by the Pythagorean theorem.

r%5E2=x%5E2%2By%5E2
17%5E2=%28-15%29%5E2%2By%5E2
289=225%2By%5E2
64=y%5E2
%22%22+%2B-+sqrt%2864%29=y
%22%22+%2B-+8=y
-8=y

We choose negative because y goes down from the x-axis.


 
Sorry I can't "Check ALL of the statements below that are true" since you
didn't give any "statements below" and I wasn't able to read your mind. lol.

Edwin