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What is the fundamental cofunction identity relating sine and cosine for complementary acute angles?

デッキ「Digital SAT Math: Algebra, Advanced Math & Geometry」の単語カード。

解答

$\sin(x) = \cos(90^\circ - x)$, or in radians $\sin(x) = \cos\left(\frac{\pi}{2} - x\right)$.

解説

A Digital SAT staple: if $\sin(a) = \cos(b)$ for acute angles $a$ and $b$ in a right triangle, then $a + b = 90^\circ$ (or $\frac{\pi}{2}$).

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