Question

iven that sin(22.5 deg) = sqrt(2-sqrt(2))/2, cot(22.5) = ?s

Answer 1

What you are supposed to figure out from that problem is that it is a half-angle formula and the angle is 45 degrees. So use the tangent half angle formula using a u value of 45 degrees. You will find that the tangent of 22.5 is (1-cos 45)/sin45. Take the reciprocal which is sin45/1-cos45 and that will be the cotangent. So after simplification, it turns out to be sqrt2/(2-sqrt2)

Answer 2

i cant have a root in the denominator

Answer 3

thanks!

Answer 4

Then multiply the numerator and the denominator by 2+sqrt2 and get rid of it.

Answer 5

no it worked thanks a lot

Answer 6

yw