How to simplify tan(-x)cos(-x)?
Kayley Kidd
Answered question
2023-01-08
Answer & Explanation
Ioriannis4v
Beginner2023-01-09Added 11 answers
Destiney Barrett
Beginner2023-01-10Added 4 answers
\(\displaystyle{\color{red}{{\mid}\overline{{\underline{{{\color{white}{\frac{{a}}{{a}}}}{\color{black}{{\tan{{x}}}=\frac{{{\sin{{x}}}}}{{{\cos{{x}}}}}}}{\color{white}{\frac{{a}}{{a}}}}{\mid}}}}}}}{\quad\text{and}\quad}{\color{red}{{\mid}\overline{{\underline{{{\color{white}{\frac{{a}}{{a}}}}{\color{black}{{\sin{{\left(-{x}\right)}}}=-{\sin{{x}}}}}{\color{white}{\frac{{a}}{{a}}}}{\mid}}}}}}}\)
\(\displaystyle\Rightarrow{\tan{{\left(-{x}\right)}}}{\cos{{\left(-{x}\right)}}}=\frac{{{\sin{{\left(-{x}\right)}}}}}{{\cancel{{{\cos{{\left(-{x}\right)}}}}}}}\times\cancel{{{\cos{{\left(-{x}\right)}}}}}\)
\(\displaystyle={\sin{{\left(-{x}\right)}}}=-{\sin{{x}}}\)
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