110 degrees has tangent and cosine that are both negative
Solution:
We have to find the angle that has a tangent and cosine that are both negative
Option A)
[tex]110^{\circ}[/tex]
[tex]tan\ 110^{\circ} = -2.7474^{\circ}[/tex]
[tex]cos\ 110^{\circ} = -0.3420^{\circ}[/tex]
Thus 110 degrees has tangent and cosine that are both negative
Option B)
[tex]180^{\circ}\\tan\ 180^{\circ} = 0\\\\cos\ 180^{\circ} = -1[/tex]
Thus, 180 degrees does not have tangent and cosine that are both negative
Option C)
[tex]210^{\circ}\\\\tan\ 210^{\circ}=0.5773^{\circ}\\\\\cos\ 210^{\circ} = -0.8660^{\circ}[/tex]
Thus, 210 degrees does not have tangent and cosine that are both negative
Option D)
[tex]340^{\circ}\\\\tan\ 340^{\circ} = -0.3639\\\\cos\ 340^{\circ} = 0.9396[/tex]
Thus, 340 degrees does not have tangent and cosine that are both negative
