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Verify the identity cot x*sec x*sin x = 1?
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You need to remember that cotangent function is rational:
`cot x = cos x/sin x`
You need to remember the formula of secant function:
`sec = 1/cos x`
Using the formulas above in the given product yields:
`(cos x/sin x)*(1/cos x)*sin x = 1`
Reducing like terms yields:
1 = 1
The last line proves that the identity `cot x*sec x*sin x = 1` is checked.
Posted by sciencesolve on January 2, 2012 at 2:03 AM (Answer #1)
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