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Question
Evaluate:
`(cos 45°)/(tan 30° + sin 60°)`
Evaluate
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Solution
`(cos 45°)/(tan 30° + sin 60°)`
= `(1/sqrt(2))/(1/sqrt(3) + sqrt(3)/2)`
= `(1/sqrt(2))/((2 + 3)/(2sqrt(3))`
= `(1/sqrt(2))/(5/(2sqrt(3))`
= `(2sqrt(3))/(5sqrt(2))`
= `sqrt(6)/5`
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