MHB Expression sin^n(x)/(sin^n(x)+cos^n(x))

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The expression sin^n(x)/(sin^n(x)+cos^n(x)) can be simplified to 1/(cot^n(x)+1) by dividing both the numerator and denominator by sin^n(x). This transformation leads to a clearer understanding of the relationship between the two forms. The user initially struggled with this simplification but successfully grasped the concept after receiving guidance. The discussion highlights the importance of manipulating expressions in trigonometry to reveal equivalences. Ultimately, the user expressed gratitude for the assistance received.
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Hi!
I have sin^n(x)/(sin^n(x)+cos^n(x))
The expression is the same with 1/(ctg^n(x)+1) and I have no idea how to get to this answer.
Can you help me?
 
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If you divide the numerator and denominator by \(\sin^n(x)\) what do you get?
 
1/[(sin^n(x)+cos^n(x))/sin^n(x)]
edit:
I get it.Thanks a lot! :)
 

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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
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