Trigonometry: If asin x=bcos x=ctan 2x and (a2-b2)2=kc2(a2+b2) then k=?

[Vamsi Krishna]

If asin x=bcos x=ctan 2x and (a²-b²)²=kc²(a²+b²) then k=?

 

[Deleted member 4993]

If asin x=bcos x=ctan 2x and (a²-b²)²=kc²(a²+b²) then k=?

Hint:

tan(2x) = [2*tan(x)]/[1 - tan²(x)]

a * sin(x) = b * cos(x) → tan(x) = ?

continue.....

 

[Vamsi Krishna]

Hint:

tan(2x) = [2*tan(x)]/[1 - tan²(x)]

a * sin(x) = b * cos(x) → tan(x) = ?

continue.....

Can you explain me in detail?

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[stapel]

Can you explain me in detail?

How did you try to apply the hint? How far did you get? Where are you stuck?

Please be complete. Thank you!

 

[HallsofIvy]

Do you know how "tan(x)" is defined?