Sin20⁰ tana sec70⁰≈√3. find A

Answers (1)
S safeer

sin 20 = cos 70

since sin x = cos (90-x)

Also sec 70=1/cos70

using above results

sin 20\ tan a\ sec70=\sqrt{3}\\\\\frac{sin20}{cos70}tana=\sqrt{3}\\\\\frac{cos70}{cos70}tana=\sqrt{3}\\\\\tan a= \sqrt{3}\\\\\Rightarrow a=60^0

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