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Question
Evaluate the Following
`(sin 30^@ - sin 90^2 + 2 cos 0^@)/(tan 30^@ tan 60^@)`
Solution
`(sin 30^@ - sin 90^2 + 2 cos 0^@)/(tan 30^@ tan 60^@)` ...(i)
By trigonometric ratios we have
`sin 30^@ = 1/2, sin 90^@ = 1, cos 0^@ = 1, tan 30^@ = 1/sqrt3 , tan 60^@ = sqrt3`
By substituting above values in (i), we get
`(1/2 1 + 2)/(sqrt3 1/sqrt3) = (3/2 + 1)/1 = 3/2`
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