簡約 16.1((15)/(cos(a)))^2

解

簡約

16.1 (\frac{15}{cos ( a )})^{2}

3622.5 sec^{2} (a)

解答ステップ

16.1 (\frac{15}{cos ( a )})^{2}

基本的な三角関数の公式を使用する:

\frac{1}{cos ( x )} = sec (x)

= 16.1 (15 sec (a))^{2}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(15 sec (a))^{2} = 1 5^{2} sec^{2} (a)

= 16.1 \cdot 1 5^{2} sec^{2} (a)

1 5^{2} = 225

= 16.1 \cdot 225 sec^{2} (a)

数を乗じる:

16.1 \cdot 225 = 3622.5

= 3622.5 sec^{2} (a)