Saved Bookmarks
| 1. |
Prove that cos theta by 1 - sin theta equals to 1 + sin theta by cos theta |
|
Answer» The given EQUATION is: \frac{cos\THETA}{1+sin{\theta}}=\frac{1-sin{\theta}}{cos{\theta}} TAKING the LHS of the above equation, we have \frac{cos\theta}{1+sin{\theta}} =\frac{cos\theta}{1+sin{\theta}}{\times}\frac{1-sin\theta}{1-sin{\theta}} =\frac{cos\theta(1-sin\theta)}{1-sin^2{\theta}} =\frac{cos\theta(1-sin\theta)}{cos^2{\theta}} =\frac{1-sin{\theta}}{cos{\theta}} =RHS Hence proved.
|
|