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The value of $\tan 82 \frac{1^{\circ}}{2}$ , is

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2+3+4+6

(3+2)(2−1)

−(3+2)(2+1)

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detailed solution

Correct option is A

We have,tan⁡8212∘=cot⁡712∘=cos⁡712∘sin⁡712∘=2cos2⁡71∘22sin⁡71∘2cos⁡71∘2=1+cos⁡15∘sin⁡15∘=1+3+1223−1=22+3+13−1=(22+3+1)(3+1)(3+1)(3−1)=26+22+3+3+3+12=6+2+4+3=2+3+4+6

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The value of tan 821∘2, is

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The value of $\tan 82 \frac{1^{\circ}}{2}$ , is