urgent inverse trig q (1 Viewer)

[bally24]

i have an assessment tomorrow and found this while revising

prove that sin^-1x = cosec^-1(1/x)

how do you prove that?

and there was a similar one that asked you to draw a graph of cotx then use it to obtain a graph of the inverse, then write down a definition of inverse cot. what does it mean by definition?

thanks guys!

 

[Riviet]

let cosec^-1(1/x)=θ
cosecθ=1/x
1/sinθ=1/x
x=sinθ
sin^-1x=θ
=cosec^-1(1/x) QED

 

[bally24]

oh ok thats great...thanks a lot!