Given tan ⁡ A = - 12/35 and that angle A is in Quadrant IV, find the exact value of sinA in simplest radical form using a rational denominator.

Sin A = - 12/37

Step-by-step explanation:

tan ⁡ A = - 12/35

Reason for minus sign is because of it's in the fourth quadrant.

12 = opposite

35 = adjacent

? = Hypotenuse

12² + 35² = hypotenuse ²

1369 = hypotenuse ²

hypotenuse = √1369

hypotenuse = 37

Sin = - 12/37

Reason for minus sign is because of it's in the fourth quadrant.