Question

write an algebraic expression that is equivalent to the expression. sec[arcsin(x-1)]

Answer 1

\[\sec(\arcsin(x-1))\]
let y=arcsin(x-1)
=>
sin(y)=x-1
sin(y)=(x-1)/1
sin(y)=opp/hyp

Answer 2

Find the other side in terms of x using the Pythagorean thm

Answer 3

then since y=arcsin(x-1)
then using the triangle above to answer sec(y) will be your answer

Answer 4

sec(y)=hyp/adj
remember?
you already have hyp=1
you need the adj side
which can be found by the Pythagorean thm like I said above

Answer 5

Thanks!!