If tanA=cota then find COSA
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Given : TanA = cotA
To Find : CosA
Solution:
TanA = cotA
Tan x = Sinx/Cosx
Cot x = Cosx / Sinx
=> SinA/CosA = CosA/SinA
do cross multiplication
=> Sin²A = Cos²A
Sin²x + Cos²x = 1
=> Sin²A + Cos²A = 1
substitute Sin²A = Cos²A
=> Cos²A + Cos²A = 1
=> 2Cos²A = 1
=> Cos²A = 1/2
=> CosA = ± 1/√2
CosA = ± 1/√2
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