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find all solutions for the following equation

->interval [0degree,360degrees)

->(write the answer to the nearest tent of a degree)

 

3sin (2theta) +1=0

 May 29, 2015

Best Answer 

 #1
avatar+128079 
+5

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

 

 

 

 May 29, 2015
 #1
avatar+128079 
+5
Best Answer

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

 

 

 

CPhill May 29, 2015

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