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Evaluate 5sin2 45° - sec 60° cot2 30° - Mathematics

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Question

Evaluate:

5sin2 45° − sec 60° cot2 30°.

Evaluate

Solution

We have, 5sin2 45° − sec 60° cot2 30°

= `[5 xx (1/sqrt2)^2] - (2 xx (sqrt3)^2)`

= `(5 xx 1/2) - (2 xx 3)`

= `5/2 - 6`

= `(5 - 12)/2`

= `(-7)/2`

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