Express x As Function of theta

David Cohen

 

AB=8 =>hypothenuse which is divided in two parts

let say h1 ( upper triangle ) and h2 (lower triangle )

so, h1=8-h2

and sin(theta)=4/h2
h2=4/sin(theta)

then h1= 8-4/sin(theta)

now we need cos to find x

cos(theta)=x/h1

cos(theta)=x/(8-4/sin(theta))

x=(8-4/sin(theta))cos(theta)

x=(8-4/sin(theta))cos(theta)

 

How do you know what to do? Have you seen this question before?

 

no I haven't see it before, but I see the picture you provided
sometimes pictures are worth more than thousand words

 

Maybe for you but not for the rest of us.

Trigonometric Prove...3