Solve for t 7cos(2t)=3

Problem

7*cos(2*t)=3

Solution

1. Isolate the trigonometric term by dividing both sides of the equation by 7

cos(2*t)=3/7

2. Apply the inverse cosine function to find the general solution for the argument 2*t

2*t=±arccos(3/7)+2*π*k

3. Divide the entire equation by 2 to solve for t where k is any integer.

t=±1/2*arccos(3/7)+π*k

Final Answer

t=±1/2*arccos(3/7)+π*k

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