What is the value of ( (5 / √3) - cosec 60° )?

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Accepted Answer

Step 1: Recall the value of cosec 60°. Since sin 60° = √3 / 2, cosec 60° = 1 / sin 60° = 2 / √3.

Step 2: Substitute the value into the expression:
(5 / √3) - cosec 60° = (5 / √3) - (2 / √3)

Step 3: Since both terms have the same denominator, subtract the numerators:
= (5 - 2) / √3 = 3 / √3

Step 4: Simplify 3 / √3:
= 3 / √3 = (3√3) / 3 = √3

Rechecking the simplification shows the final value is √3, which matches option 1.

Correction: The initial marking of correct option was incorrect. The correct answer is √3.

Final answer: √3.

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