Question

how to solve this question 11​

Answer 1

Answer:

Step-by-step explanation:given that :-

(cosA+sinA)/(cosA-sinA) = (1 +√3) / (1- √3)

we have to find 

A = ? 

solution :-

here ,

(cosA+sinA)/(cosA-sinA)

= cos A ( 1 + tan A) / cos A ( 1 - tan A) 

= (1 + tan A ) / ( 1- tan A ) 

now ,

(1 +√3) / (1- √3) 

= (1 + tan 60° ) / ( 1- tan 60° )       

because tan 60° = √3

now,

 by comparing

 (1 + tan A ) / ( 1- tan A ) and (1 + tan 60° ) / ( 1- tan 60° ) 

=> tan A = tan 60°

=> A = 60° answer 

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