第11章 11.12

tanθ=2sinθcosθ=21=2r1r\tan\theta = 2 \qquad \frac{\sin\theta}{\cos\theta} = \frac{2}{1} = \frac{\frac{2}{r}}{\frac{1}{r}}

r=22+12=5r = \sqrt{2^2 + 1^2} = \sqrt{5}

これから

cosθ=15sinθ=25\cos\theta = \frac{1}{\sqrt{5}} \qquad \sin\theta = \frac{2}{\sqrt{5}}

cos2θ=15sinθcosθ=25\cos^2\theta = \frac{1}{5} \qquad \sin\theta\cos\theta = \frac{2}{5}

解説: r31bn1z