Mathematics: How do i prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))

How do i prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))

Ответ:

Daryn121504

06.01.2022

$\dfrac{1+\sin x}{\cos x}=\dfrac{\cos (-x)}{1+\sin(-x)}\\
\dfrac{1+\sin x}{\cos x}=\dfrac{\cos x}{1-\sin x}\\
\cos^2 x=(1+\sin x)(1-\sin x)\\
\cos^2 x=1-\sin^2 x\\
\sin^2 x+\cos^2 x=1
$

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Ответ:

ennaturan

13.01.2021

Mathematics

5200

Step-by-step explanation:

multiply then divide don't round answer

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