10 grade maths
How do you calculate sec 45°?
How do you calculate sec 45°?
1 Answer
Askiitians Tutor Team
Approved Tutor Answer1 Year agoTo calculate sec 45°, you first need to understand what secant means in trigonometry. The secant function is the reciprocal of the cosine function.
Step-by-Step Calculation
Here’s how to find sec 45°:
- Find cos 45°: The cosine of 45 degrees is equal to √2/2.
- Take the reciprocal: Since sec 45° is the reciprocal of cos 45°, you calculate it as follows:
sec 45° = 1 / cos 45° = 1 / (√2/2)
Simplifying the Expression
To simplify:
- Multiply by the reciprocal: sec 45° = 1 * (2/√2)
- This simplifies to sec 45° = 2/√2.
- Further simplifying gives sec 45° = √2.
Final Result
Thus, the value of sec 45° is √2.
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