## Shaydenparis Group Title prove siny +tany/over/ 1+secy=siny one year ago one year ago

1. geerky42

$$\dfrac{\sin y + \tan y}{1 + \sec y} \Rightarrow \dfrac{\sin y + \tan y}{1 + \sec y} \cdot \dfrac{1 - \sec y}{1 - \sec y} = \dfrac{(\sin y + \tan y)(1 - \sec y)}{1 - \sec^2 y}$$ Can you do the next step?

2. Shaydenparis

yep i got it, thank you

3. terenzreignz

For some reason, I don't really see how this helps... better to express everything in terms of sin and cos instead... oh well.

4. terenzreignz

$\huge \frac{\sin y + \frac{\sin y}{\cos y}}{1 + \frac{1}{\cos y}}$

5. terenzreignz

$\huge \frac{\frac{\sin y \cos y + \sin y}{\cos y}}{\frac{\cos y + 1}{\cos y}}$

6. terenzreignz

$\large \frac{\sin y \cos y + \sin y}{\cos y + 1}=\frac{(\sin y)(\cos y + 1)}{\cos y + 1}$ And now it should be easy to see.