Home › Forums › Math questions › Trigonometry questions

Prove that

Posted July 6th, 2009 by alpha
in

$ \frac{cos\theta}{1-sin\theta}=tan(\frac{\pi}{4}+\frac{\theta}{2}) $

‹ Prove that Prove that ›

Comments

answer

On July 6th, 2009 Structure says:
$$\frac{cos\theta}{1-sin\theta}=\frac{\sin(\frac{\pi}{2}+\theta)}{1+\cos(\frac{\pi}{2}+\theta)}=\frac{2\sin(\frac{\pi}{4}+\frac{\theta}{2})\cos(\frac{\pi}{4}+\frac{\theta}{2})}{2\cos^2(\frac{\pi}{4}+\frac{\theta}{2})}=tan(\frac{\pi}{4}+\frac{\theta}{2})$$

~~THANK YOU ~~

On July 8th, 2009 alpha says:

-------------------x----------------------------
``Old theorems never die; they turn into definitions.''
----E. Hewitt

''ALPHA" =)

Back to top