Sunday, April 8, 2012

Trig Identities

Trig Identities:
sin^2x + cos^2x = 1
1 + tan^2x = sec^2x
1 + cot^2x = csc^2x

When simplifying these trig identities will be of vital use.
ex.)

1 - cos^2x/ 1 + cot^2x (Note: Both the numerator and the denomenator are part of a trig identiy. To simply themm basically (using the original trig identities) move parts of the equation around in order to get what is show in the problem to one side, then substitute what is already in the problem for what is on the other side of the equation.. I know no one probably understood what all that meant)
(For the numerator you would get this: sin^2x)

sin^2x/sec^2x (Keep simplifying... sec = 1/cos and you will have to use that)

sin^2x/1/cos2x (put sin^2x over one and sandwich)

Sin^2xcos^2x is your final answer...

~ Parrish J. Masters Jr.

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