Value of 3 sec 45° cos 45° will be: A) 0 c) 2 100 B) 1 D) 3

Chemistry
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Value of 3 sec 45° cos 45° will be: A) 0 c) 2 100 B) 1 D) 3 ​

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Value of 3 sec 45° cos 45° will be: A) 0 c) 2 100 B) 1 D) 3 ​

Answer: The value of 3 sec 45° cos 45° can be found using the following steps:

  1. Convert 45 degrees to radians: 45 degrees = (45/180) x π = π/4 radians
  2. Use the identity cos(π/4) = sin(π/4) = 1/√2 to simplify the expression: 3 sec(π/4) cos(π/4) = 3 (1/cos(π/4)) cos(π/4) = 3
  3. Therefore, the answer is option D) 3.

So, the value of 3 sec 45° cos 45° is 3.