Question

If tanA= CotA then find cos A​

Answer 1

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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