How to simplify the expression cos theta tan theta?

Thaddeus Herman

Thaddeus Herman

Answered question

2023-01-03

How to simplify the expression cosθtanθ?

Answer & Explanation

scernenefmet

scernenefmet

Beginner2023-01-04Added 7 answers

Recall that tanθ=sinθcosθ. We have
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Kiersten Edwards

Kiersten Edwards

Beginner2023-01-05Added 1 answers

\(\displaystyle\text{}{u}{\sin{{g}}}{t}{h}{e}\text{}{\color{blue}\text{}}{t}{r}{i}{g}{o}{n}{o}{m}{e}{t}{r}{i}{c}{i}{d}{e}{n}{t}{i}{t}{y}\text{}\)
\(\displaystyle•{\color{white}{{x}}}{\tan{\theta}}=\frac{{\sin{\theta}}}{{\cos{\theta}}}\)
\(\displaystyle\Rightarrow{\cos{\theta}}{\tan{\theta}}=\cancel{{{\cos{\theta}}}}\times\frac{{\sin{\theta}}}{\cancel{{{\cos{\theta}}}}}={\sin{\theta}}\)

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