$\"\"$

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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 = $\"\"$ and hypotenuse = $\"\"$ .

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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 the values of opposite side = $\"\"$ and hypotenuse = $\"\"$ 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 $\"\"$ .

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$\"\"$

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Since, $\"\"$ lies in quadrant II, sine and cosecant functions are positive and remaining trigonometric functions are negative.

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$\"\"$ ,

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$\"\"$ ,

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$\"\"$ ,

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$\"\"$ ,

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$\"\"$ .

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$\"\"$

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The values of six trigonometric functions are $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , and $\"\"$ .