Question

If tan(0)=1/3 and pi < 0< 3pi/2, what is sin(0)?

Answer 1

Answer:

-√10/10.

Step-by-step explanation:

The angle O is in the third quadrant  so the sine of O is negative.

The hypotenuse = √(1^2 + 3^2) = √10.

So sin(O) = -1 /√10

= -√10/10.