How do you find the value of $csc ((-3pi)/4)$ ?

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Answer 1 · 2015-05-21T14:22:42

Note $pi=180^circ$

$csc ((-3pi)/4) = 1/sin((-3pi)/4)$

On the trig unit circle:

$sin ((-3pi)/4) = - sin ((pi)/4) =-sin(180^circ/4)=-sin(45^circ)= -sqrt2/2$

$csc ((-3pi)/4) = -2/sqrt2 = -sqrt2$

How do you find the value of csc ((-3pi)/4)csc ((-3pi)/4)?