Math - Trig

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I'm trying to verify these trigonometric identities.

1. 1 / [sec(x) * tan(x)] = csc(x) - sin(x)

2. csc(x) - sin(x) = cos(x) * cot(x)

3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x)

4. csc(-x)/sec(-x) = -cot(x)

  • Math - Trig -

    Can you post your attempts?
    I will give you a kickstart:
    1/(sec(x)tan(x))
    =1/(1/cos(x) * sin(x)/cos(x))
    =cos²(x)/sin(x)
    =(1-sin²(x))/sin(x)
    =csc(x) - sin(x)

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