Given sinx=-3/5 and x is in quadrant 3, what is the value of tan x/2?

Solution is attached. İf right I'm happy

-3

Step-by-step explanation:

In the attached image we can see the tan(x/2) relation with sine and cosine

tan(x/2)=sinx/(1+cosx)

sinx=-3/5

and from the triangle we can see that the cosine is equal to -4/5 (this triangle is also called a notable triangle of sides 3,4,5 in lenght)

tan(x/2)=(-3/5)/(1-4/5)

tan(x/2)=-3

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