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Question
Evaluate: `(4 cos^3 60^circ + "cosec" 30^circ)/(tan^2 30^circ)`
Evaluate
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Solution
Substituting trigonometric values:
`cos 60^circ = 1/2`
cosec 30° = 2
`tan 30^circ = 1/sqrt(3)`
Expression:
= `(4(1//2)^3 + 2)/(1//sqrt(3))^2`
= `(4(1//8) + 2)/(1//3)`
= `(1//2 + 2)/(1//3)`
= `(5//2)/(1//3)`
= `5/2 xx 3`
= `15/2` or 7.5
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