prove true or false,if false, correct it

Dear Student,

 

This is True.

Explanation:

Substituting y/sina = bx/acosA (from first equation) in the second equation, we get:

     a²x/acosA - b²/acosA = a² - b²

=> (a² - b²)x/acosA = a² - b²

=> x/acosA = 1................................. (IF a is NOT equal to b)

=> x = acosA

=> y = bsinA

Substituting these values in the given expression (the third one), we get

cos²A + sin²A = 1.... which is true

 

Regards Topperlearning.