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Evaluate the Following (Sin 30^@ - Sin 9062 + 2 Cos 0^@)/(Tan 30^@ Tan 60^2) - CBSE Class 10 - Mathematics

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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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Solution Evaluate the Following (Sin 30^@ - Sin 9062 + 2 Cos 0^@)/(Tan 30^@ Tan 60^2) Concept: Trigonometric Ratios.
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