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

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Answer 1 · 2015-05-22T13:18:15

#csc (pi/4) = 1/sin(pi/4)#

Trig conversion table gives: #sin ((pi)/4) = (sqrt2)/2# , then:

#csc (pi/4) = 2/(sqrt2) = sqrt2#

Answer 2 · 2015-05-22T13:23:45

#csc(pi/4)# is given by the

#"hypotenuses" / "opposite side"#

in the image below
enter image source here

#csc(pi/4) = sqrt(2)#