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Evaluate: 2 sin2 30° sec 60° + tan2 60°. - Mathematics

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Question

Evaluate:

2 sin2 30° sec 60° + tan2 60°.

Evaluate

Solution

2 sin2 30° sec 60° + tan2 60°

= `2 (1/2)^2 xx 2 + (sqrt3)^2`

= `2 xx 1/4 xx 2 + 3 = 1 + 3 = 4`

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