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.
tmt1
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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 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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