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Question
Evaluate: `(2sin^2 60° − tan^2 30°)/(sec^2 45°)`
Evaluate
Solution
`(2sin^2 60° − tan^2 30°)/(sec^2 45°)`
= `(2 xx (sqrt3/2)^2 - (1/sqrt3)^2)/(sqrt2)^2`
= `(2 xx 3/4 - 1/3)/2`
= `(3/2 - 1/3)/2`
= `((9 - 2)/6)/2`
= `(7/6)/2`
= `7/6 xx 1/2`
= `7/12`
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