Multiple choice

If tan 45° + cosec 30° = x, then find the value of x.

  1. √3

  2. (1 - 2√2)/√2

  3. (√3 - 4)/2√3

  4. 3

  5. 0

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D Correct answer
Explanation

tan 45 = 1 and cosec 30 = 2. Therefore, x = 1 + 2 = 3.

AI explanation

Substitute the standard trigonometric values into the given equation, tan 45 plus cosec 30 equals x. The value of tan 45 is 1, and the value of cosec 30 is 2. Adding these gives x = 1 plus 2, which results in x = 3.