Question

Given tanx=8/15 when pi < x < 3pi/2, find tan x/2.

Answer 1

Answer:

$tan(x/2)=-4$

Step-by-step explanation:

we know that

The angle x belong to the III quadrant -----> given problem

step 1

Find the angle x

$x=arctan(8/15)=28.07\°$

Remember that the angle x belong to the III Quadrant

so

$x=28.07\°+180\°=208.07\°$

step 2

Find angle x/2

$x/2=208.07\°/2=104.035\°$

step 3

Find tan(x/2)

$tan(104.035\°)=-4$