Question

Solve for θ in the equation cos θ = -0.334 when 0º < θ < 180º. Round your answer to the nearest tenth of a degree.

Answer 1

110.1°

Explanation:

Use the inverse cosine function (arccos or cos⁻¹).

... cos(θ) = -0.344

... θ = arccos(-0.344) = 110.1°

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The range of the arcos( ) function is 0 – 180°, so no adjustment of the angle is necessary. (Make sure your calculator is in degrees mode.)