Ireally need with thease1. in the figure below, sin space alpha space equals space 2 over 3. choose the two statements below that are true.  cos space theta space equals space 2 over 3 cos space alpha space equals space 3 over 2 sin space theta space equals space 2 over 3 sin space beta space equals space 1 third sin space beta space equals space 2 over 32. the degree of measure of an angle in a right tirangle is x and the sine x = 1 third. which of these expressions are also equal to 1 third? choose all that apply. cos(x) cos(x - 45 degree) cos(45 degree - x) cos(60 degree - x) cos(90 degree - x)

See the attached figure with letters to better understand the problem

we know that
Part 1)
sin alpha=2/3
in the right triangle ABC
angle alpha+angle theta=90-------> by complementary angles
then
cos theta=sin alpha

in the right triangle EDC
angle beta+angle theta=90------->  by complementary angles
then
sin beta=cos theta

therefore
sin beta=sin alpha

the answer part a) is
cos space theta space equals space 2 over 3
sin space beta space equals space 2 over 3

Part 2)
we know that
if A and B are complementary angles
A+B=90°------> B=90-A
and
sin A=cos B
sin  A= cos (90-A)

in this problem
sin x=1/3
then 
cos (90-x)=1/3

the answer part b) is
cos(90 degree - x)