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FreeTrader
 4 years ago
The infinite series for sinx, cosx, and sinx tell us that for small angles, sinx is approximately x, and cosx is approximately (1.5x^2). With these approximations, check that (sinx)^2 + (cosx)^2 is approximately 1. I am stuck. Maybe I am approaching it wrong. Any hints?
FreeTrader
 4 years ago
The infinite series for sinx, cosx, and sinx tell us that for small angles, sinx is approximately x, and cosx is approximately (1.5x^2). With these approximations, check that (sinx)^2 + (cosx)^2 is approximately 1. I am stuck. Maybe I am approaching it wrong. Any hints?

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Roachie
 4 years ago
Best ResponseYou've already chosen the best response.1x^2 + 1^2 = 1 ( just using the first terms for the series expansions ) this yields a small x fitting the series approximation

Roachie
 4 years ago
Best ResponseYou've already chosen the best response.1in other words is x is 0 in the limit then 1 = 1
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