What are the six trig function values of $-135$ ?

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Answer 1 · 2018-03-17T06:01:47

As below.

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$hat (-135) = -(3pi)/4 = 2pi - (3pi)/4 = (5pi)/4$

Angle falls in III quadrant where only $tan, cot$ are positive.

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$sin ((5pi)/4) = sin (pi + (pi/4)) = - sin (pi/4) = - 1/sqrt2$

$csc ((5pi)/4) = csc (pi + (pi/4)) = - csc (pi/4) = - sqrt2$

$coc ((5pi)/4) = cos (pi + (pi/4)) = - cos (pi/4) = - 1/sqrt2$

$sec ((5pi)/4) = sec (pi + (pi/4)) = - sec (pi/4) = - sqrt2$

$tan ((5pi)/4) = tan (pi + (pi/4)) = tan (pi/4) = 1$

$cot ((5pi)/4) = cot (pi + (pi/4)) = cot (pi/4) = 1$

What are the six trig function values of -135-135?