Question

If Sin x = 0.63 what is the value of x? explain the steps using a scientific calculator.

Answer 1

@phi

Answer 2

didn't you do this
the idea is to use inverse sin (on your calculator do you have a key \( \sin^{-1}\) ?

Answer 3

Yes i do

Answer 4

the inverse sin undoes the sin
you start with

[ \sin x = 0.63\]
you "apply" the inverse sign to both sides by writing
\[ \sin^{-1} (\sin x) = \sin^{-1} 0.63 \]
the left side is just x (because inverse sin of sin undoes it)
in other words, we have
\[ x= \sin^{-1} 0.63\]
so you do inverse sin of 0.63
on your calculator
what do you get ?

Answer 5

i got 39.050
is that right?

Answer 6

yes

you can check by doing
sin(39.05) and that should give back 0.63

Answer 7

Yes that worked. Thank you again!! have a great night!