Question

On a unit circle, ___ radians. Identify the terminal point andsin f.

Answer 1

Remember the following:

`\begin{gathered} \sin(0)=0 \\ \\ \sin\left((\pi)/(6)\right)=(1)/(2) \\ \\ \sin\left((\pi)/(4)\right)=(√(2))/(2) \\ \\ \sin\left((\pi)/(3)\right)=(√(3))/(2) \\ \\ \sin\left((\pi)/(2)\right)=1 \end{gathered}`
`\begin{gathered} \cos(0)=1 \\ \\ \cos\left((\pi)/(6)\right)=(√(3))/(2) \\ \\ \cos\left((\pi)/(4)\right)=(√(2))/(2) \\ \\ \cos\left((\pi)/(3)\right)=(1)/(2) \\ \\ \cos\left((\pi)/(2)\right)=0 \end{gathered}`

The terminal point of an angle θ is given by:

`(\cos\theta,\sin\theta)`

For θ=π/2, we have:

`(\cos(\pi)/(2),\sin(\pi)/(2))=(0,1)`

Therefore, the answer is: option B) Terminal point: (0,1), sinθ=1.