2. The function is given by h'(x)=3tan^2x-1 What are the zeros of h on the interval 0leqslant xlt 2pi

Question

Answer 1

## Step 1: Equate the function to zero### Set

:

## Step 2: Solve for

### Rewrite equation:

### Solve for

:

## Step 3: Solve for

### Take the square root of both sides:

## Step 4: Determine the general solutions### Use the principal values:

and

### Corresponding angles:

and

## Step 5: Check interval

### Verify that all solutions are within the interval

Question