sin 45^o = 1/√2             csc 45^o =√2/1 = √2
cos 45^o = 1/√2             sec 45^o =√2/1 = √2
tan 45^o = 1/1 = 1        cot 45^o =1/1 = 1

Mathematicians don't like radicals in denominators so we must rationalize the sin and cos functions. Hence the sin 45^o = (√2) /2  and the cos 45^o = (√2 )/2

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What did we multiply 1/√2 by to rationalize it?   answer

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