Question

Which value is equal to 1/2 select all that apply

Answer 1

To solve this, we use the unit circle, which I will attach an image to review:

Looking at the circle, we notice that the values of the answer options correspond to the following values:

`\begin{gathered} \sin (30)=(1)/(2) \\ \cos (45)=\frac{\sqrt[]{2}}{2} \\ \tan (30)=(\sin (30))/(\cos (30))=\frac{(1)/(2)}{\frac{\sqrt[]{3}}{2}}=\frac{\sqrt[]{3}}{3} \\ \sin (45)=\frac{\sqrt[]{3}}{2} \\ \cos (60)=(1)/(2) \\ \tan (45)=(\sin(45))/(\cos(45))=\frac{\frac{\sqrt[]{2}}{2}}{\frac{\sqrt[]{3}}{2}}=1 \end{gathered}`

In conclusion, the values that are equal to 1/2 are:

`\begin{gathered} \sin (30)=(1)/(2) \\ \cos (60)(01)/(2) \end{gathered}`