Question

If cos 0 = 3/5 and angle 0 is in Quadrant IV, what is the value of tan 0 ? Tan =

Answer 1

Answer:

-4/3.

Step-by-step explanation:

cos O = 3/5

Using Pythagoras to find the length of the side opposite  the angle O:

As the  cos of O is adjacent/ hypotenuse,  Hypotenuse = 5 , adjacent side = 3 so

opposite side. = sqrt(5^2 - 3^2) = sqrt 16

= 4.

Now the tangent is negative in Q IV so

tan O =  opposite / adjacent side = -4/3