Question 139

The value of (sec θ + cosec θ) when θ = 45°, is

Solution

We know that sec A = 1/cos A and cosec A = 1/sin A. When A = 45 degrees, both these values will be equal to √2 (Since sin 45 = cos 45 =1/√2).
Hence, sec 45 + cosec 45 = 2√2.
Option D is the right answer.


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