50 POINTS Show work for both questions.

Pleaseee don’t answer if you don’t know, I need this really soon.

Step-by-step explanation:

a)

Dividing both sides by sin^2x, we get

The 2nd term on the LHS is simply cot^2x and the RHS is simply csc^2x

b)

You can also graph it to arrive at the solution.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4