What is the value of cosec2 30° + sin2 45° + sec2 60° + tan2 30?

What is the value of cosec2 30° + sin2 45° + sec2 60° + tan2 30? Correct Answer 53/6

Concept used:

Value of trigonometric functions at different angles 

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Calculations:

cosec² 30° + sin² 45° + sec² 60° + tan² 30

⇒ (2)² + (1/√2)² + (2)² + (1/√3)²

⇒ 4 + 1/2 + 4 + 1/3

⇒ (24 + 3 + 24 + 2)/6

⇒ 53/6

∴ The correct answer is 53/6