![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
![Additional Math – Trigonometry – Prove the Identity Cos x/ (1- Sin x) = Tan x + Sec x – Tuition with Jason – Math Specialist Additional Math – Trigonometry – Prove the Identity Cos x/ (1- Sin x) = Tan x + Sec x – Tuition with Jason – Math Specialist](https://i0.wp.com/www.tuitionwithjason.sg/wp-content/uploads/2018/06/a-math-trigonometry-prove-the-identity-tan-x-sec-x-2.png?fit=486%2C409&ssl=1)
Additional Math – Trigonometry – Prove the Identity Cos x/ (1- Sin x) = Tan x + Sec x – Tuition with Jason – Math Specialist
![trigonometry - About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$ - Mathematics Stack Exchange trigonometry - About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$ - Mathematics Stack Exchange](https://i.stack.imgur.com/mvs0I.jpg)
trigonometry - About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$ - Mathematics Stack Exchange
![trigonometry - What is the derivative of $y=\sqrt{\frac {1- \sin(x)}{1+\sin( x)}}$ - Mathematics Stack Exchange trigonometry - What is the derivative of $y=\sqrt{\frac {1- \sin(x)}{1+\sin( x)}}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/G95tk.jpg)