LeonellW474444 LeonellW474444

25-10-2022
Mathematics

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Consider the equation cos(2t) = 0.8. Find the smallest positive solution in radians and round your answer to 2 decimal places.

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KelsyH421025 KelsyH421025

25-10-2022

Given:

cos(2t) = 0.8

Take the cos⁻' of both-side of the equation.

cos⁻' cos(2t) = cos⁻'(0.8)

2t = cos⁻'(0.8)

Calculate the value of the right- hand side with your calculator in radians.

2t =0.6435

Divide both-side of the equation by 2

t ≈ 0.32

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