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Question
Evaluate the following:
`(5cos^2 60° + 4sec^2 30° - tan^2 45°)/(sin^2 30° + cos^2 30°)`
Sum
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Solution
`(5cos^2 60° + 4sec^2 30° - tan^2 45°)/(sin^2 30°+ cos^2 30°)`
= `(5(1/2)^2 + 4(2/sqrt3)^2 - (1)^2)/((1/2)^2 + ((sqrt3)/2)^2)`
= `(5/4 + 16/3 - 1)/(1/4 + 3/4)`
= `(1/12(15 + 64 - 12))/((1 + 3)/4`
= `(1/12 xx67)/(4/4)`
= `67/12`
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