How do you evaluate the expression csc(pi/4)?

1 Answer
Jim G.
Aug 11, 2016

sqrt2

Explanation:

Using the color(blue)"trig. identity"

color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(csctheta=1/sintheta)color(white)(a/a)|)))

rArrcsc(pi/4)=1/sin(pi/4)

color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sin(pi/4)=1/sqrt2)color(white)(a/a)|)))

rArrcsc(pi/4)=1/sin(pi/4)=(1)/(1/sqrt2)=sqrt2

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