- #1
andrewkg
- 86
- 0
Q
If cos(alpha)=-sqrt3/5 and alpha is in the third quadrant, find exact values for sin(alpha) and tan(alpha).
A. Well what I did was use the pythagorean theorem so (-sqrt3)^2+(opposite)^2=5^2. then in the end I got sqrt22 for opposite so then sin(alpha)=sqrt22/5 and tan alpha =sqrt22/-sqrt3,
but here is the problem then the alpha is outside the third quadrant. then no matter the switchs made to my answs for sin tan +- they angles never fit properly. am I just making a dumb mistake of is the question off?
If cos(alpha)=-sqrt3/5 and alpha is in the third quadrant, find exact values for sin(alpha) and tan(alpha).
A. Well what I did was use the pythagorean theorem so (-sqrt3)^2+(opposite)^2=5^2. then in the end I got sqrt22 for opposite so then sin(alpha)=sqrt22/5 and tan alpha =sqrt22/-sqrt3,
but here is the problem then the alpha is outside the third quadrant. then no matter the switchs made to my answs for sin tan +- they angles never fit properly. am I just making a dumb mistake of is the question off?