MHB Trigonometry question: order of operations

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-csc^2 x is equivalent to -(csc x)^2, not (-csc x)^2. The latter would result in csc^2(x), which is not the same. The clarification confirms the correct interpretation of the expression. Understanding these nuances in trigonometric notation is essential for accurate calculations.
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Hello

I have -csc^2 x

Is this the same as -(cscx)^2 or (-csc x)^2?

Thanks,

Tim
 
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Re: Trigonometry question

It is the first option. :) If you had $(- \csc (x))^2$ then you'd actually have $\csc^2 (x)$.
 
Re: Trigonometry question

obrigado
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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