find all solutions for the following equation
->interval [0degree,360degrees)
->(write the answer to the nearest tent of a degree)
3sin (2theta) +1=0
3sin (2theta) +1=0 subtract 1 from both sides
3sin(2Θ) = -1 divide by 3 on both sides
sin(2Θ) = -1/3
sin(Θ) = -1/3 at about -19.5° = 199.5°, 340.5°, 559.5° and at 700.5°.....dividing all by 2, we have....
Θ = about 99.8°, 170.3°, 279.8° and 350.3°
Here's a graph......https://www.desmos.com/calculator/78mdpgxfc7
3sin (2theta) +1=0 subtract 1 from both sides
3sin(2Θ) = -1 divide by 3 on both sides
sin(2Θ) = -1/3
sin(Θ) = -1/3 at about -19.5° = 199.5°, 340.5°, 559.5° and at 700.5°.....dividing all by 2, we have....
Θ = about 99.8°, 170.3°, 279.8° and 350.3°
Here's a graph......https://www.desmos.com/calculator/78mdpgxfc7