Question

if tanA=cotA then find cosA​

Answer 1

Answer:

$\large\purple{\underline{Ꭺɳรωεɾ♬:}}$

TanA and CotA will be equal under only one condition that is A=45°

Therefore CosA=Cos45°= 1/√2

Hope this helped u!!

$\large\boxed{Answered \: By:\: {\orange{៣αɳเcρรყcɦσ68}}}$

Answer 2

SOLUTION

GIVEN

tanA = cotA

TO DETERMINE

The value of cosA

EVALUATION

Here it is given that

tanA = cotA

$\sf{ \implies \tan A = \tan( {90}^{ \circ} - A )}$

$\sf{ \implies A = ( {90}^{ \circ} - A )}$

$\sf{ \implies 2 A = {90}^{ \circ} }$

$\sf{ \implies A = {45}^{ \circ} }$

$\sf{ \therefore \: \cos A }$

$\sf{ = \cos {45}^{ \circ} }$

$\displaystyle \: = \frac{1}{ \sqrt{2} }$

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