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Prove that (i) "cos " 15^(@) - " si...

Prove that
`(i) "cos " 15^(@) - " sin " 15^(@) = (1)/(sqrt(2))`
`(ii) " cot " 105^(@) - " tan " 105^(@) =2sqrt(3)`
`(iii) (tan 69^(@) + tan 66^(@))/(1-tan 69^(@) tan 66^(@)) =-1`

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