giúp em với ạ 5’ nữa em phải nộp ạ Question giúp em với ạ 5’ nữa em phải nộp ạ in progress 0 Môn Toán Phúc Điền 5 years 2021-05-18T07:41:35+00:00 2021-05-18T07:41:35+00:00 1 Answers 15 views 0
Answers ( )
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1)1 – {\sin ^2} + {\cos ^2}x = {\sin ^2}x + {\cos ^2}x – {\sin ^2}x + {\cos ^2}x = 2{\cos ^2}x\\
2)1 + {\sin ^2}x – {\cos ^2}x = {\sin ^2}x + {\cos ^2}x + {\sin ^2}x – {\cos ^2}x = 2{\sin ^2}x\\
3)\dfrac{{{{\sin }^2}x – 1}}{{1 – {{\cos }^2}x}} = \dfrac{{{{\sin }^2}x – {{\cos }^2}x – {{\sin }^2}x}}{{{{\sin }^2}x – {{\cos }^2}x + {{\cos }^2}x}} = \frac{{ – {{\cos }^2}x}}{{{{\sin }^2}x}} = – {\tan ^2}x\\
4){\sin ^2}x + {\cos ^2}x + {\cot ^2}x = 1 + {\cot ^2}x = \dfrac{1}{{{{\sin }^2}x}}\\
5)\left( {1 – \cos x} \right){\cot ^2}x\left( {1 + \cos x} \right) = \left( {1 – {{\cos }^2}x} \right){\cot ^2}x = {\sin ^2}x.\dfrac{{{{\cos }^2}x}}{{{{\sin }^2}x}} = {\cos ^2}x\\
6)1 – \sin \alpha .\cot \alpha .\cos \alpha = 1 – \sin \alpha .\dfrac{{\cos \alpha }}{{\sin \alpha }}.\cos \alpha = 1 – {\cos ^2}\alpha = {\sin ^2}\alpha \\
7)\dfrac{{\sin x.\sin y}}{{\cos x.\cos y}}.\tan x.\cot y = \dfrac{{\sin x}}{{\cos x}}.\dfrac{{\sin y}}{{\cos y}}.\tan x.\cot y = {\tan ^2}x.\cot y.\tan y = {\tan ^2}x
\end{array}$