Find the primary solution of cosθ=−0.3
Mathematics
carterjay284
Question
Find the primary solution of cosθ=−0.3
1 Answer

1. User Answers iwillanswer
The solution of cos θ = −0.3 is θ = 107.45760312 degrees
Solution:
Given that we have to find the primary solution of [tex]cos \theta = 0.3[/tex]
To solve this equation, you must find the unknown (theta)
[tex]cos \theta = 0.3[/tex]
Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta
[tex]\theta = arccos (0.3)[/tex]
We know that arccos (0.3) = 107.45760312 degrees
[ If you reference a unit circle or use a calculator ]
[tex]\theta = 107.45760312^{\circ}[/tex]
Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees