I know how lớn solve the trig equations I just get stuck putting the 2 at the over or not. I understand pi is 180 & 2pi is 360

For example

2θ=pi/6

θ=5pi/12 +kpi & θ=11pi/12 +kpi

but for another question θ= pi/6 và θ= 5pi/6 but has 2kpi in front of it

Trig functions are periodic, which basically means they end up repeating values infinitely at a set interval.

Bạn đang xem:

Like sin(x) & cos(x) both have periods of 2pi, which means that if we showroom a multiple of 2pi we'd get the same number as if we haven't. So:

sin(x + k2pi) = sin(x) và cos(x + k2pi) = cos(x)

So if a specific angle works for sin, then that angle + 2kpi will also work.

Now tan(x) is periodic with period only pi, so we only need multiples of pi (not 2pi lượt thích with sin & cos). So

tan(x + k*pi) = tan(x)

So if so angle works for tan, that angle plus key performance indicator will work as well.

I guess this is a long winded way of saying that it's problem dependent if you need to use 2kpi vs kpi based on if you used cos, sin (and sec, csc) vs chảy (and cot)

2
Share
ReportSaveFollow
level 2
Op · 4 yr. Ago
College

I am still kinda confused. So will Cos & Sin always be 2pi? Because the first one started out as sec2(2θ)=4/3 & the second was 2sin2(θ)-3sin(θ)+1=0

1
Share
ReportSaveFollow

level 1

· 4 yr. Ago
kpi is used for tan. If you can imagine a unit circle in your head, you'll realise that the tan values move up by 1 radian. Sin & cos work differently, they move up by 2 radians

you can see this if you look at both of their graphs

the values for rã repeat every radian, và likewise 2 radians for sin và cos

1
Share
ReportSaveFollow
level 2
Op · 4 yr. Ago
College

I am still kinda confused. So will Cos & Sin always be 2pi? Because the first one started out as sec2(2θ)=4/3 & the second was 2sin2(θ)-3sin(θ)+1=0

1
Share
ReportSaveFollow

r/HomeworkHelp
Need help with homework? We're here for you! The purpose of this subonfire-bg.com is lớn help you learn (not complete your last-minute homework), and our rules are designed khổng lồ reinforce this.
Created Sep 6, 2009
352k

nerds

115

slacking

Top 1%

Ranked by Size

Join

## Similar to this post

Top posts april 11th 2019Top posts of april, 2019Top posts 2019