Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

simplified form of 1-sinx/cosx + cosx/1-sinx

Sagot :

Step-by-step explanation:

Given

[tex] \frac{1 - sinx}{cosx} + \frac{cosx}{1 - sinx} \\ = \frac{(1 - sinx)^{2} + cos^{2}x }{cosx(1 - sinx)} \\ = \frac{1 - 2sinx + sin ^{2}x + cos {}^{2}x}{cosx(1 - sinx)} \\ = \frac{2 - 2sinx}{cosx(1 - sinx)} \\ = \frac{2(1 - sinx)}{cosx(1 - sinx)} \\ = \frac{2}{cosx} \\ = 2secx[/tex]

Hope it will help :)❤