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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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