Question

Expresar las identidades con términos de cos a. ​

Answer 1

Respuesta:

1)  $\frac{1-cos^2~\theta}{cos~\theta}$

2)  $\frac{1}{1~-~cos~\theta}$

3)  $\frac{2}{cos^2~\theta}$

Explicación paso a paso:

1)

   $\frac{sen^2~\theta}{cos~\theta}\\\\\frac{1-cos^2~\theta}{cos~\theta}$

2)

   $\frac{cot~\theta~+~csc~\theta}{sen~\theta}\\\\\frac{\frac{cos~\theta}{sen~\theta}+\frac{1}{sen~\theta}}{sen~\theta}\\\\\frac{\frac{cos~\theta+1}{sen~\theta}}{sen~\theta}\\\\\frac{cos~\theta+1}{(sen~\theta)(sen~\theta)}\\\\\frac{cos~\theta+1}{sen^2~\theta}$                         $\frac{1~+~cos~\theta}{1~-~cos^2~\theta}\\\\\frac{1~+~cos~\theta}{(1~+~cos~\theta)(1~-~cos~\theta)}\\\\\frac{1}{1~-~cos~\theta}$

3)

   $\frac{1}{1-sen~\theta}+\frac{1}{1+sen~\theta}\\\\\frac{(1+sen~\theta)~+~(1-sen~\theta)}{(1-sen~\theta)(1+sen~\theta)}\\\\\frac{1+sen~\theta~+~1-sen~\theta}{1-sen^2~\theta}\\\\\frac{2}{cos^2~\theta}$