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Relating Trigonometric Functions - Page 27

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Given sin x = 4/7 and #cos x = -sqrt33/7#, how do you find cot x?
How do you rewrite the expression as a single log and simplify ln|sin θ| - ln|cos θ|?
How do you verify #(1 + sin x) /( cos x sin x )= sec x(csc x + 1)#?