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Cot (45 o) = Cos(45) / Sin(45)

Note the inversion of Cos and Sin.

Cos(45) = sqrt(2) / 2

Sin(45) = sqrt(2) /2

Applying division of fractions.

Cot(45) = Cos(45)/Sin(45) = [sqrt(2)/2] / [sqrt(2)/2] =>

sqrt(2)/2 X 2/Sqrt(2)

Note the change of sign and the inversion of terms.

Cancel down by '2'

sqrt(2)/1 X 1 / sqrt(2)

Cancel down again by 'sqrt(2)' .

1/1 x 1/1

= 1/1 = 1

Hence Cot (45 o) = 1

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lenpollock

Lvl 17
1w ago

What else can I help you with?