Question

can someone show me by drawing what csc^-1 sqrt 2=?

Answer 1

@dan815 @Nnesha @mathmate

Answer 2

inverse trigonometry... anyone?

Answer 3

arccsc or csc - 1?

Answer 4

arc csc

Answer 5

Are you given anything else? arcsc is simply \(\sf \large \frac{1}{arcsine}\)

Answer 6

oups: \[\csc ^{-1}\sqrt{2}\]

Answer 7

it is just pi/4 , 3pi/4, 5 pi/4 and 7pi/4

Answer 8

\(csc t = \sqrt 2\\csc t = \dfrac{1}{sin t}\)
and we know that \(csc t = \sqrt 2\implies arccsc \sqrt 2= t\)

Answer 9

Now, back to csc
\(csc t =\dfrac{1}{sin t}=\sqrt 2\), then s\(int = \sqrt2/2 \) that is t = pi/4, 3pi/4.....\)

Answer 10

Got me?

Answer 11

Yes or no? need more explanation?

Answer 12

wait up... trying to fully understand here...

Answer 13

got it

Answer 14

thanks

Answer 15

\[Let~ \csc ^{-1}\sqrt{2}=y,\csc y=\sqrt{2},\sin y=\frac{ 1 }{ \sqrt{2} }=\sin \frac{ \pi }{ 4 },\sin \left( \pi-\frac{ \pi }{ 4 } \right)\]
y=?