Mathematics

Question

Find the primary solution of cosθ=−0.3


1 Answer

  • 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