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Y=tanx Y=cosx Y=-lanx D. Y=-cotx 2. (1 Point) The First Minimum Along Positive X-axis of Y=2cos(3x) A. X=90^circ X=60^circ C. X=0^circ

Question

y=tanx y=cosx y=-lanx d. y=-cotx 2. (1 point) The first minimum along positive x-axis of y=2cos(3x) a. x=90^circ x=60^circ c. x=0^circ x x=180^circ

Solution

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Answer

### B.

Explanation

## Step 1: Analyze the given functions and identify the first minimum along the positive x-axis.### We are looking for the smallest positive value of for which reaches its minimum value. The minimum value of the cosine function is -1. Therefore, we need to find the smallest positive such that .## Step 2: Determine the general solution for the cosine function equal to -1.### The cosine function equals -1 at angles of the form , where is an integer. So, we have .## Step 3: Solve for x and find the smallest positive solution.### Dividing both sides by 3, we get . For , we have . Converting to degrees, .