MHB What is the graph of y = sin^2 x + cos^2 x?

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The equation y = sin²x + cos²x simplifies to y = 1, which indicates that the graph is a horizontal line at y = 1. This is a fundamental identity in trigonometry, confirming that the sum of the squares of sine and cosine functions equals one for all values of x. The discussion clarifies any confusion regarding potential typos in the equation. Overall, the graph is constant and does not vary with x. The conclusion reinforces the identity that y = sin²x + cos²x always equals 1.
karush
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ok image to make sure I didn't have typo's
but I am clueless... I thot $y=\sin^2 x+cos^2 x$ was the graph of $y=1$
 
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y=1 would be correct for the given function.
 
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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