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if alpha sin^2x +betacos^2x =1 , betasin^2y + alphacos^2y = n and alphatanx = betatany , then alpha^2/beta^2 is equal to

if alpha sin^2x +betacos^2x =1 , betasin^2y + alphacos^2y = n and alphatanx = betatany , then alpha^2/beta^2 is equal to

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
2 years ago
Dear student

you have to mention to which point simplification is required as

we can solve by beginning

alpha^2/beta^2 = (tan y /tan x) ^2

= sec ^ y -1/ sec ^ x – 1
= (sec y +1)(sec y -1)/ (sec x +1)(sec y -1)

and so on

Regards

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