Step 1:

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The trigonometric function is \"\", where \"\" lies in quadrant II.

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Right angled triangle definition of trigonometric function \"\"

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Opposite side = 3 and hypotenuse = 5.

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Pythagorean theorem:

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For right angled triangle, square of Hypotenuse is equal to sum of squares of other two sides.  

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\"\"

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\"\"

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Substitute opposite side = 3 and hypotenuse = 5 in above theorem.

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\"\"

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\"\"

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\"\"

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\"\"

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Adjacent side = 4.

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Sine and Cosecant functions are positive and remaining trigonometric functions are negative.

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Since, \"\" lies in quadrant II.

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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Solutions :

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\"\", \"\", \"\", \"\", and \"\".