How do you find the value of cot 135?

1 Answer
Oct 15, 2015

Find cot 135^@

Explanation:

First way:
Trig Table of Special Arcs gives --> cot 135^@ = - 1
Second way:
cot 135 = cos (135)/(sin (135))
cos 135 = cos (90 + 45) = cos 90.cos 45 - sin 90.sin 45 = - sqrt2/2
sin 135 = sin (90 + 45) = sin 90.cos 45 + sin 45.cos 90 = sqrt2/2
tan 135 = cos (135)/(sin (135)) = - (sqrt2/2)/(sqrt2/2) = - 1
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