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Question
Select the correct option from the given alternatives:
If θ = 60°, then `(1 + tan^2theta)/(2tantheta)` is equal to
Options
`sqrt(3)/2`
`2/sqrt(3)`
`1/sqrt(3)`
`sqrt(3)`
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Solution
`2/sqrt(3)`
Explanation:
`(1 + tan^2theta)/(2tantheta)=(1+tan^2 60°)/(2tan60°)`
= `(1+(sqrt3)^2)/(2sqrt3)`
= `(1+3)/(2sqrt3)`
= `2/sqrt3`
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