I've tried doing it, but every time i don't get any of the options.
what is the simplified form of the expression
a.) sec x
b.) cos x + sin x
c.) cos x
d.) 2cos^3x

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

answer: the answer is b. i think hope i got it correct

step-by-step explanation: