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Question
The value of `(2tan30^circ)/(1 - tan^2 30^circ)` is equal to
Options
cos 60°
sin 60°
tan 60°
sin 30°
MCQ
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Solution
tan 60°
Explanation;
Hint:
`(2tan30^circ)/(1 - tan^2 30^circ) = (2 xx 1/sqrt(3))/(1 - (1/sqrt(3))^2`
= `2/sqrt(3) ÷ 1 - 1/3`
= `2/sqrt(3) ÷ 2/3`
= `2/sqrt(3) xx 3/2`
= `3/sqrt(3)`
= `sqrt(3)`
= tan 60°
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