Code:
tan? sec?+1
---------- = -----------
sec? -1 tan?
\(\displaystyle \frac{\tan(\theta)}{\sec(\theta) \, - \, 1}\)
\(\displaystyle = \, \frac{\tan(\theta)}{\sec(\theta) \, - \, 1}\cdot\frac{1+\sec(\theta)}{1+\sec(\theta)}\)
\(\displaystyle = \, \frac{\tan(\theta)\cdot [1+\sec(\theta)]}{\sec^2(\theta) \, - \, 1}\)
\(\displaystyle = \, \frac{\tan(\theta)\cdot [1+\sec(\theta)]}{\tan^2(\theta)}\)
Now continue....
Code:
cos? (1 + sin?)
----------- + ----------- = 2 sec?
(1 + sin?) (cos?)
Follow the principle above....
Code:
cot(x) + tan(x)
----------------- = csc(x)
sec(x)
Convert everything to sin(x) and/or cos(x) and continue.....
