Posted by Jack on November 12, 2002 at 18:27:58:
In Reply to: Verifying Trigonometry Identities posted by William on November 12, 2002 at 00:44:49:
: 1) How does one verify a Trig. Idenity? I'm not saying that there is no easier way or one method of doing it, but possibly provide helpful hints or formulas for all the trig functions of SIN, COS, TAN, CSC, SEC, and COT.
: No standard method for solving identities exists. Here are some general rules or strategies that can be followed to help guide the process:
: 1 - Try to simplify the more complicated side of the identity until it is identical to the second side of the identity.
: 2 - Try to transform both sides of an identity into an identical third expression.
: 3 - Try to express both sides of the indentity interms of only sines and cosines; then try to make both sides identical.
: 4 - Try to apply the Pythagorean identities as much as possible.
: 5 - Try to use factoring and combining of terms, multiplying one side of the identity by an expression that is equal to 1, squaring both sides of the identity, and other algebraic techniques to manipulate equations.
: 6 - And last but not least, be persistent!!
: 2) Also.. are there other sports formulas, such as basketball (statstics of how things are calculated, perhaps?), bowling, running, walking, and the like?
: Probably are.
: 3) I saw someone posted a message about calculating deriviatives (spelling?) by using the formulas, but what about integrations?
: There are basic rules, methods and formulas for integration also.
: Thanks.