Question

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answer 1

sinx=sqrt 2/2
sinx=opp/hyp
knowing this,
opp=sqrt 2
hyp=2
adj=?
(sqrt2)^2+b^2=2^2 , solve for b
2+b^2=4
b^2=2
b= sqrt 2
b is what I called adjacent
so know you know adjacent, opposite, and hypotenuse
cosx=adj/hyp
tanx=opp/adj
so cosx=sqrt2/2
tanx=sqrt2/sqrt2=1