I need to do this no silly answers tho I’ll mark ❗️Brainlyist❗️ if answered correctly!!!
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Sohcahtoa
My algebra teacher got us all to remember that word because...
Soh - Sin = Opposite / Hypotenus
Cah - Cos = Adjacent / Hypotenus
Toa - Tan = Opposite / Adjacent
Sin, Cos, and Tan are what you can use to find missing triangle sides if you know at least one other angle besides the 90 degree angle.
My algebra teacher got us all to remember that word because...
Soh - Sin = Opposite / Hypotenus
Cah - Cos = Adjacent / Hypotenus
Toa - Tan = Opposite / Adjacent
Sin, Cos, and Tan are what you can use to find missing triangle sides if you know at least one other angle besides the 90 degree angle.
<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units
<u>Solution-</u>
As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with
x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)
Then, substituting these values in the plane equation to get the z parameter,
cos t + 2sin t + z = 2
⇒ z = 2 - cos t - 2sin t
∴
As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π
∴ Arc length
Now evaluating the integral using calculator,
