Answer:
cosθ = [tex]-\frac{72}{97}[/tex]
Step-by-step explanation:
tanθ = -(65/72)
If it is in the 2nd quadrant, this means that y is positive but x is negative
tanθ= opposite/adjacent or (y/x)
tanθ=[tex]\frac{65}{-72}[/tex]
We know that the adjacent value = -72 and the opposite value = 65
The hypotenuse can be get by the following
[tex]\sqrt{(65)^2+(-72)^2} = 97[/tex]
cosθ is just adjacent/hypotenuse
Our adjacent value is -72
Our hypotenuse is 97, therefore
cosθ = [tex]-\frac{72}{97}[/tex]
