$\"\"$

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Observe the figure:

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The values are sides of the triangle $\"\"$ and $\"\"$ .

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Consider, $\"\"$ and $\"\"$ .

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Use the side lengths to find the angle $\"\"$ :

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Formula for angles of sin,cos and tan:

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

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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Therefore, the value of three trignometric ratios for angles are $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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