# How do you find the solutions on the interval 0 2pi?

## How do you find the solutions on the interval 0 2pi?

Starts here3:38Find the solutions to a trig equation between 0 and 2pi – YouTubeYouTubeStart of suggested clipEnd of suggested clip57 second suggested clipI take the cosine of that angle I get squared of fear I’m sorry plus or minus right plus or minusMoreI take the cosine of that angle I get squared of fear I’m sorry plus or minus right plus or minus square root 3 of 2 and then I have my constraint 0 to 2pi. So we’re not using inverse.

**How do you find all the solutions to each equation in radians?**

Starts here11:48Solving Trigonometric Equations By Finding All Solutions – YouTubeYouTubeStart of suggested clipEnd of suggested clip59 second suggested clipPlus 12 5 – 6 is 17 PI over 6. So to write an equation that gives us all solutions is going to be PIMorePlus 12 5 – 6 is 17 PI over 6. So to write an equation that gives us all solutions is going to be PI over 6. Plus 2 pi n. The period of sine cosine is 2 pi where n is any integer so n could be 0.

**How do you find all solutions of an equation in an interval?**

Starts here6:57How do you find all the solutions inside an interval? – YouTubeYouTubeStart of suggested clipEnd of suggested clip60 second suggested clipNow. Remember we can also use negative values negative PI over 4 negative 3 PI over 4 negative 5 PIMoreNow. Remember we can also use negative values negative PI over 4 negative 3 PI over 4 negative 5 PI over 4. But those negative values all fall outside of the interval 0 to 2 pi.

### How do you solve trigonometric equations with given domains?

Starts here10:54Trigonometric Equations (Domain Restrictions) – YouTubeYouTubeStart of suggested clipEnd of suggested clip53 second suggested clipEqual. Well sine PI + 6 equals 1/2 that’s because sine PI + 6 is equal to 30 degrees. And then oneMoreEqual. Well sine PI + 6 equals 1/2 that’s because sine PI + 6 is equal to 30 degrees. And then one of the exact values you know you can remember that from the triangle or just general memorization.

**What is the interval of 0 2pi?**

The interval (0,2π) ( 0 , 2 π ) contains 3π2 3 π 2 .

**How do you find all cosine solutions?**

Starts here6:25Finding all of the solutions of cosine with a multiple angle – YouTubeYouTube

## How many solutions on the interval 0 2020π does the equation?

and in interval [0, 2020π] = 2 * 2020 + 1 = 4041 solution.

**When solving trig equations Why is the domain restricted?**

It means that we are limiting the possible values that our variable can be. Because we are working with trigonometric equations, our variable will be in radian units. So, you will most likely see a pi in the restricted domain. For example, you might see f(x) = sin (x) + 2; 0 < x < pi.