Question

solve this equation

Answer 1

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tan 30 = 1/√3
then 2tan30/(1+tan^2 30) is= 2×1/√3 / (1+(1/√3)²)
= 2/√3 / (1+1/3)         in brackets by taking 3 as lcm we get
= 2/√3 / (3+1/3)
= 2/√3 / 4/3
= 2/√3×3/4
= 3 / 2√3   (3 can be written as √3×√3)
= √3×√3 / 2√3
= √3/2
= cos 30

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