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Verify the identity cot x*sec x*sin x = 1?

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singup | Student, Grade 11 | eNoter

Posted January 2, 2012 at 1:55 AM via web

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Verify the identity cot x*sec x*sin x = 1?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted January 2, 2012 at 2:03 AM (Answer #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.

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