Evaluate sec(60 degrees )^2-tan(45 degrees )^2

Problem

sec(60)−tan(45)

Solution

1. Identify the trigonometric values for the given angles.

2. Substitute the value sec(60)=2 into the expression.

3. Substitute the value tan(45)=1 into the expression.

4. Square the substituted values.

2−1

5. Subtract the results to find the final value.

4−1=3

Final Answer

sec(60)−tan(45)=3

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