Solve the trigonometric equation4cos(2𝑡)+1=3to find the exact solution on the interval [0,𝜋2]. Give your answer in radians.
Question
Solution 1
Sure, let's solve the trigonometric equation step by step.
The given equation is 4cos(2t) + 1 = 3.
Step 1: Subtract 1 from both sides of the equation to isolate the cosine function:
4cos(2t) = 3 - 1 4cos(2t) = 2
Step 2: Divide both sides of the equation by 4 to solve for cos(2t):
cos(2t) = 2/4
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