Q) Evaluate (5/cot2 30°) + (1/ sin2 60°) - cot2 45° + 2 sin2 90°

Givent that, $\frac{5}{\cot^2 30} + \frac{1}{\sin^2 60}$ - cot2 45 + 2 sin2 90 = $\frac{5}{(\sqrt3)^2}$ + $\frac{1}{(\frac{\sqrt3}{2})^2}$ - (1)2 + 2 (1)2 = $\frac{5}{3}$ + $\frac{4}{3}$ - 1 + 2 = 3 - 1 + 2 = 4

Evaluate (5/cot2 30) + (1/ sin2 60)

Q) Evaluate (5/cot² 30^°) + (1/ sin² 60^°) – cot² 45^° + 2 sin² 90^°

Ans:

Givent that, $Evaluate (5/cot^2 30) + (1/ sin^2$ – cot² 45 + 2 sin² 90

= $Evaluate (5/cot^2 30) + (1/ sin^2$ + $Evaluate (5/cot^2 30) + (1/ sin^2$ – (1)²+ 2 (1)²

= $Evaluate (5/cot^2 30) + (1/ sin^2$ + $Evaluate (5/cot^2 30) + (1/ sin^2$ – 1+ 2

= 3 – 1+ 2

= 4

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