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(Solved): (a) Use the Pythagorean identity sin^(2)\theta +cos^(2)\theta =1 to find all the other Pythagorean ...



(a) Use the Pythagorean identity

sin^(2)\theta +cos^(2)\theta =1

to 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.

a

is a positive real number. (i)

\sqrt(a^(2)+x^(2))

(ii)

\sqrt(a^(2)-x^(2))

(iii)

\sqrt(x^(2)-a^(2))

.



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