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加法定理による展開

加法定理による展開 こちら
三角関数の合成 こちら

加法定理によって展開しよう。

\(\sin\left(\theta+\dfrac{\pi}{6}\right)\)
\(\sin\left(\theta+\dfrac{\pi}{4}\right)\)
\(\sin\left(\theta+\dfrac{\pi}{3}\right)\)
\(\sin\left(\theta-\dfrac{\pi}{6}\right)\)
\(\sin\left(\theta-\dfrac{\pi}{4}\right)\)
\(\sin\left(\theta-\dfrac{\pi}{3}\right)\)
\(\cos\left(\theta+\dfrac{\pi}{6}\right)\)
\(\cos\left(\theta+\dfrac{\pi}{4}\right)\)
\(\cos\left(\theta+\dfrac{\pi}{3}\right)\)
\(\cos\left(\theta-\dfrac{\pi}{6}\right)\)
\(\cos\left(\theta-\dfrac{\pi}{4}\right)\)
\(\cos\left(\theta-\dfrac{\pi}{3}\right)\)
\(\sin\left(45^\circ+30^\circ\right)\)
\(\cos\left(45^\circ+30^\circ\right)\)
\(\sin\left(60^\circ+45^\circ\right)\)
\(\cos\left(60^\circ+45^\circ\right)\)
\(\sin\left(60^\circ-45^\circ\right)\)
\(\cos\left(60^\circ-45^\circ\right)\)
\(\tan\left(45^\circ+30^\circ\right)\)
\(\tan\left(60^\circ+45^\circ\right)\)
\(\tan\left(60^\circ-45^\circ\right)\)

答えあり