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How to solve for theta with cos(theta) = 5?

a) θ = cos⁻¹(5)
b) θ = sin⁻¹(5)
c) θ = tan⁻¹(5)
d) No solution

User Lfaraone
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1 Answer

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Final answer:

The cosine function yields values between -1 and 1 for any real angle, thus cos(θ) = 5 is not possible, indicating there is no solution to this equation.

Step-by-step explanation:

The question is asking to solve for theta (θ) given that cos(θ) = 5. This is a trigonometric equation. The values of the cosine function for any real angle are always between -1 and 1. Since the cosine of theta is provided as 5, which is outside this range, it is not possible for any real angle to have a cosine of 5. Therefore, the correct answer is No solution (d). None of the other options are possible since they suggest that there is an angle that satisfies the given equation, which is not true in this case.

User Benjamin Kovach
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