The trigonometric equation is \"\".

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Left hand side identity : \"\"

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\"\"

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\"\"

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Pythagorean identity :\"\".

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\"\"

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\"\"

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\"\"

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Multiply numerator and denominator by (1 - sin A).

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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Trigonometry identity : sin A/cos A = tan A.

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Reciprocal identity : 1/cos A = sec A.

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\"\"

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= right hand side identity.

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Therefore. \"\".