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Evaluate the expression tan² θ · sec² θ · (cot² θ − cos² θ).

1. 0
2. 1
3. −1
4. 1/2

Correct answer: 1

Solution

The expression simplifies to tan² θ · sec² θ · (cot² θ − cos² θ), where cot² θ can be rewritten as 1/tan² θ. This leads to a cancellation that ultimately results in a value of 1 when evaluated.

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