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Mathematics 8 Online
snowflake0531:

help, trig

snowflake0531:

@AZ

snowflake0531:

@cupcakesonice

snowflake0531:

@darkknight

TypicalFoxGirl:

@Angle You'll l o v e to do this one

TypicalFoxGirl:

Angle LOVES trig hehehehehehe

Angle:

no

snowflake0531:

ha, we argued

Angle:

I’m eating dinner atm (sending this from my phone) we already know that f(a) = -1/12 we should also know that cos(x) has a period of 2pi this means that cos(x) = cos(x - 2pi) = cos(x + 2pi) = cos(x + 4pi) and all such patterns

snowflake0531:

lol, i finished doing that like a minute before you posted can you help with one other thing, or, actually, 2 or 3 firstly, what is the period of this equation: -2cos(3x)-3

Angle:

https://www.mathsisfun.com/algebra/amplitude-period-frequency-phase-shift.html period = 2pi/b where b is the coefficient of x

snowflake0531:

that's nice, i got 2pi/3 but when i looked on desmos it looks like the period is pi tho?

snowflake0531:

is sine and cosine's period calculated differently?

Angle:

sine and cosine periods are calculated the same because they are a translation of each other

snowflake0531:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 that's nice, i got 2pi/3 but when i looked on desmos it looks like the period is pi tho? \(\color{#0cbb34}{\text{End of Quote}}\) so, i should still write that the period is 2pi/3? but i also need to graph it.... on paper

Angle:

what do you mean? the screenshot I attached shows that desmos also says that the period is 2pi/3 and the screenshot is a graph...

snowflake0531:

the screenshot you attached showed a coordinate point, not the period?

snowflake0531:

since the period would be from (-pi/3,-1) to (2pi/3,-5) that's what the teacher said?

Angle:

a period is the distance for which a trig function repeats there is a point at (0, -5) and (2pi/3, -5)

snowflake0531:

that's not what our teacher told us as a whole period....

Angle:

the distance between two minimums or the distance between two maximums

Angle:

https://www.mathsisfun.com/algebra/amplitude-period-frequency-phase-shift.html ā€œ The Period goes from one peak to the next (or from any point to the next matching point)ā€

Angle:

you do you if you really want to be stubborn about it :shrug: but I trust mathisfun with my life

snowflake0531:

lol, okay but if that's correct, i means i have to redo so much of the previous problems lol

snowflake0531:

i'm done, thxx and i'll just hope i heard the teacher wrong lol

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