Posted by Soroban on August 16, 2002 at 14:30:24:
In Reply to: Trig Identities posted by kama on August 16, 2002 at 13:46:59:
: Can anyone help mw with this question?
: I am supposed to... Write equations expressing sin^2x (sin squared x)in terms of cosx, tan^2x (tan squared x)in terms of secx, and csc^2x (csc squared x)in terms of cotx
Kama,
Evidently, you aren't familiar with or have forgotten the "Pythagorean Identities".
They are:
sin^2(x) + cos^2(2) = 1
tan^2(x) + 1 = sec^2(x)
cot^2(x) + 1 = csc^2(2)
You see, THAT is how the functions are tied together.
It's obvious (now) that the exercise was designed deliberately to test your knowledge
of these identities.
So, for the first one: sin^2(x) = 1 - cos^2(x). And we're done!