Question

Which statement about 307° is correct?O A. Cos 307° < 0O B. sin 307° > 0O C. tan 307° < 0

Answer 1

307 degrees lie in the fourth quadrant

`\begin{gathered} \text{From the diagram above,} \\ \text{cos 307 = cos(360 - 307) } \\ \cos \text{ 307 = cos 56 = 0.5559} \\ 0.5559\text{ is greater than 0, so option A is wrong } \end{gathered}`
`\begin{gathered} \sin \text{ 307 = }-\text{ sin(360 -307 = -sin 56 = -0.2698} \\ \text{-0.2698 is less than 0, so option B is wrong too} \end{gathered}`
`\begin{gathered} \tan \text{ 307 = -tan (360 - 307) = -tan 56 = -1.4826} \\ \text{-1.4826 is less than 0. Therefore option C is the correct answer } \end{gathered}`