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Mathematics 12 Online
OpenStudy (anonymous):

find all solutions of cosx=0.8?

zepdrix (zepdrix):

Mmmmm are we allowed to use a calculator? :d

OpenStudy (anonymous):

sure lol

zepdrix (zepdrix):

\[\Large \cos \color{green}{x}\quad=\quad \color{violet}{0.8}\] We can rewrite this as the inverse cosine by swapping the argument of the function with the right side.\[\Large \cos^{-1}\color{violet}{0.8}\quad=\quad \color{green}{x}\]

zepdrix (zepdrix):

There is a special button on most calculators for the inverse sine and cosine.

OpenStudy (anonymous):

hummmmmmmmmmmm

zepdrix (zepdrix):

You would probably want to be in `degree mode`

zepdrix (zepdrix):

What type of calculator do you have? :o If you can't figure it out, we could maybe just try using Google Calculator.

OpenStudy (anonymous):

can u give it to me ??

OpenStudy (anonymous):

I have casio

zepdrix (zepdrix):

Does it have a \(\Large cos^{-1}\) button?

OpenStudy (anonymous):

yes is dose

zepdrix (zepdrix):

oh goodie :O

OpenStudy (anonymous):

??

zepdrix (zepdrix):

What calculator is it D: Maybe I can guide you through it.. Casio what?

OpenStudy (anonymous):

hummmmmmmm it is fx-115es

OpenStudy (anonymous):

??

zepdrix (zepdrix):

Mmmm ok so how do you get the cos^-1 to show up? I think you press the `shift` button, then press the cosine button, yes?

OpenStudy (anonymous):

hummm shift & cos

OpenStudy (anonymous):

??

OpenStudy (anonymous):

cos is positive in quadrants 1 and 4. cosx.8 = 36.86989765deg +360n where n is an integer and cosx.8 also = 323.1301024deg +360n where n is an integer

OpenStudy (anonymous):

oh that is the full answer ? I just have to type it like that and that is it ?

OpenStudy (anonymous):

make sure your answer is in rads or degrees, what ever it calls for, that is in degrees.

OpenStudy (anonymous):

Make sure you round to the appropriate number of decimals

OpenStudy (anonymous):

how to do that ? :(

OpenStudy (anonymous):

does it tell you to round your answers to a certain number of decimals? does it tell you to give an answer in exact form or decimal form?

OpenStudy (anonymous):

yes it dose

OpenStudy (anonymous):

follow the directions

OpenStudy (anonymous):

where ?

OpenStudy (anonymous):

Cos x = 0.8 So, x = 37 or (360-37)

OpenStudy (anonymous):

How ever your teacher or homework tells you to represent the answer, follow those directions

OpenStudy (anonymous):

omg im so confused :(

OpenStudy (anonymous):

How does your directions tell you to present an answer?

OpenStudy (anonymous):

he just said Find all solutions of cos x=0.8

OpenStudy (anonymous):

?

OpenStudy (anonymous):

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