how to solve thia one when divided in half. Thank you!

Question

If , and  is in quadrant I, determine the exact value of each of the following. Use fractions and radicals only, no decimals.

   

   

Answer 1

first step is to identify the third side, which would be the opposite side since cosine is adjacent/hypotenuse

(o)^2 + (3)^2= (8)^2

o= sqroot 55

So sin(x) = sqroot 55/8 therefore sin(x/2) would be sqroot55/16

Cos(x/2) is 3/16

I will leave it to you to do tan (x/2)