![calculus - why $\int \frac{1}{1+\sin(x)+\cos(x)}dx = \ln\left | \tan(\frac{x }{2})+1 \right |+const.$? - Mathematics Stack Exchange calculus - why $\int \frac{1}{1+\sin(x)+\cos(x)}dx = \ln\left | \tan(\frac{x }{2})+1 \right |+const.$? - Mathematics Stack Exchange](https://i.stack.imgur.com/SDS4B.jpg)
calculus - why $\int \frac{1}{1+\sin(x)+\cos(x)}dx = \ln\left | \tan(\frac{x }{2})+1 \right |+const.$? - Mathematics Stack Exchange
Prove the identity: ((1 - sin x cos x)/(cos x(sec x - cosec x)).((sin^2x - cos^2 x)/(sin^3 x+ cos^3 x)) = sin x = sin x - Sarthaks eConnect | Largest Online Education Community
Using Rolle's theorem, find a point on the curve y = sin x + cos x – 1, x ∈ [0,π/2] tangent is parallel to the x- axis. - Sarthaks eConnect | Largest Online Education Community
![trigonometry - Proving $\left(\frac{1+\sin x+i\cos x}{1+\sin x-i\cos x }\right)^n=\cos n\left(\frac{\pi }{2}-x\right)+i\sin n\left(\frac{\pi }{2-x}\right)$ - Mathematics Stack Exchange trigonometry - Proving $\left(\frac{1+\sin x+i\cos x}{1+\sin x-i\cos x }\right)^n=\cos n\left(\frac{\pi }{2}-x\right)+i\sin n\left(\frac{\pi }{2-x}\right)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/7TZxt.jpg)
trigonometry - Proving $\left(\frac{1+\sin x+i\cos x}{1+\sin x-i\cos x }\right)^n=\cos n\left(\frac{\pi }{2}-x\right)+i\sin n\left(\frac{\pi }{2-x}\right)$ - Mathematics Stack Exchange
![SOLVED: To answer questions 28-30, use the equation: 1 - cos(X) = sin(X) * sin(X) 28. What is one identity used in the solution? sin(X) * cos(X) = cos( X) * sin(X) 29. SOLVED: To answer questions 28-30, use the equation: 1 - cos(X) = sin(X) * sin(X) 28. What is one identity used in the solution? sin(X) * cos(X) = cos( X) * sin(X) 29.](https://cdn.numerade.com/ask_images/7ca6b1e436e04878838f1456fa1a2910.jpg)
SOLVED: To answer questions 28-30, use the equation: 1 - cos(X) = sin(X) * sin(X) 28. What is one identity used in the solution? sin(X) * cos(X) = cos( X) * sin(X) 29.
![31. The integral sin?x cos²x (sin® x + cosº xsin' x +sinº x cos” x + cos x)2 ° is equal to +C (2) 1+ cot +C 1+2013 (3) 1+ cotºx - + 31. The integral sin?x cos²x (sin® x + cosº xsin' x +sinº x cos” x + cos x)2 ° is equal to +C (2) 1+ cot +C 1+2013 (3) 1+ cotºx - +](https://toppr-doubts-media.s3.amazonaws.com/images/4902440/497cb12d-2f07-40d7-b1c8-fb83a4e144cd.jpg)