Determine any point in the third quadrant for which tan(α)=4. one valid point = ? ? for this angle, sin(α) = ? ? you for your

The point in third quadrant is: (-1,-4)

The value of sinα is

Step-by-step explanation:

We are given that:

As we know that

Where P denotes the perpendicular and B denote the base of a right angled triangle formed by the help of the trignometric identity.

Thus means that P=4 and B=1

Hence the hypotenuse is given by H= ( with the help of Pythagorean theorem)

so we could construct a triangle in third quadrant

Hence the point in third quadrant is (-1,-4).

Now corresponding to this point is given as:

⇒  (Negative sign is used as is negative in the third quadrant)