Algebra

[shrewd pumice]

What exactly are you unsure about? If it's the topic itself, you can try this link: https://www.mathsisfun.com/algebra/trigonometric-identities.html?

[molten mural]

,, \frac{cos(\alpha)}{1-sin(\alpha)}+\cot(\alpha)

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,, \cot(a) = \frac{1}{\tan(\alpha)}

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,, \frac{cos(\alpha)}{1-sin(\alpha)} = \frac{cos\alpha(1+sin\alpha)}{1-sin^2\alpha}

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,, 1-\sin^2\alpha=cos^2\alpha

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,tex from this...

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[molten mural]

,, \frac{1+sin\alpha}{cos\alpha}

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[molten mural]

split it...

,, \frac{1}{cos\alpha} + \frac{sin\alpha}{\cos\alpha}

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[molten mural]

result is

,, \sec\alpha + \tan\alpha + \frac{1}{\tan(\alpha)}

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[molten mural]

,, \sec\alpha + \tan\alpha + \cot(a)

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???

[tame glen]

what does it want you to yield

also i'd suggest multiplying by the conjugate for the fraction

[grand rivet]

This not cot this ctg

[molten mural]

ctg = cot