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Prove the tan75^@ + cot75^@ = 4...

Prove the `tan75^@ + cot75^@ = 4`

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L.H.S `tan75^@+cot75^@=tan75^@+(1)/(tan75^@) = (tan^2 75^@+1)/(tan75^@) = (2)/(((2tan75^@)/(1+tan^2 75^@)))= (2)/sin(2xx75^@) = (2)/sin150^@ = (2)/(((1)/2) = 4` R.H.S.
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