Question

Find the solution:
-3 sin^-1 (2x) = π

Answer 1

can you isolate sin^-1 (2x) first ?

Answer 2

It equals -π/3?

Answer 3

yes,
now if \(\sin^{-1}a=b, \implies a=\sin b\)
so, what can you say baout
sin^-1 (2x) =-pi/3 ?

Answer 4

sin(π/3)=2x?

Answer 5

what about -*minus* sign ? why did you just drop it ? :P

Answer 6

won't it be sin(-π/3)=2x

Answer 7

Oops, I forgot it, sorry! sin(-π/3)=2x

Answer 8

you can now use \(\sin (-\theta )=-\sin \theta\)
to get
-sin(π/3)=2x
got this ? and whats sin (pi/3)=...?

Answer 9

I'm not sure, would it be √3)/2?

Answer 10

yes, thats correct.
so, -(√3)/2=2x
i believe you can find 'x' from here easily :)

Answer 11

You get -((√3)/4)?

Answer 12

thats correct value of x :)

Answer 13

Thank you again! (:

Answer 14

Welcome again! (: