find the 5 other thrig functions if cos(theta) = square root of 2/2 and cotangent is less than 0

Answer 1

Given:CosA=SQRT2/2

Since the cosine is positive and the
tangent and cotangent are negative
(less than 0), we are in the 4th Quad-
rant. CosA=sqrt2/2=x/r, x=sqrt2, r=2,
Y=sqrt(r^2-x^2)=sqrt(4-2)=+/-sqrt2,
Y=-sqrt2(4th Quadrant).

SinA=y/r=-sqrt2/2.
CosA=sqrt2/2=x/r(Given)
TanA=y/x=-sqrt2/sqrt2=-1

cscA=-(2/sqrt2).
secA=2/sqrt2
CotanA=sqrt2/-sqrt2=-1