(a) Use the Pythagorean identity
sin^(2)\theta +cos^(2)\theta =1to find all the other Pythagorean identities. (b) In each case, find out what is the trigonometric function that should be substitute for
x, in order to eliminate the radical. In each case, show that your choice eliminates the radical.
ais a positive real number. (i)
\sqrt(a^(2)+x^(2))(ii)
\sqrt(a^(2)-x^(2))(iii)
\sqrt(x^(2)-a^(2)).
