展開する (4(csc^2(3θ)+3cot^2(3θ)))/(1+4cot^2(3θ))

解

展開する

\frac{4 ( csc ^{2} ( 3 θ ) + 3 cot ^{2} ( 3 θ ) )}{1 + 4 cot ^{2} ( 3 θ )}

\frac{4 csc ^{2} ( 3 θ ) + 12 cot ^{2} ( 3 θ )}{1 + 4 cot ^{2} ( 3 θ )}

解答ステップ

\frac{4 ( csc ^{2} ( 3 θ ) + 3 cot ^{2} ( 3 θ ) )}{1 + 4 cot ^{2} ( 3 θ )}

拡張

4 (csc^{2} (3 θ) + 3 cot^{2} (3 θ)) : 4 csc^{2} (3 θ) + 12 cot^{2} (3 θ)

= \frac{4 csc ^{2} ( 3 θ ) + 12 cot ^{2} ( 3 θ )}{1 + 4 cot ^{2} ( 3 θ )}