Here is the problem.
lim as x approaches 0 of (tan4x/sin2x)
So far I have done this.
(sin7x/cos7x)/(sin2x)
(sin7x/cos7x) multiplied by (1/sin2x)
I'm not sure where to go from here. Suggestions? Thanks.
juventinoalex
Here is the problem.
lim as x approaches 0 of (tan4x/sin2x)
So far I have done this.
(sin7x/cos7x)/(sin2x)
(sin7x/cos7x) multiplied by (1/sin2x)
I'm not sure where to go from here. Suggestions? Thanks.
juventinoalex
1) Is it tan(4x) or tan(7x)?
2) $\displaystyle \frac{sin(7x)}{sin(2x)cos(7x)} = sin(7x) \cdot \frac{7x}{7x} \cdot \frac{1}{sin(2x)} \cdot \frac{2x}{2x} \cdot \frac{1}{cos(7x)}$ $\displaystyle = \frac{7}{2} \cdot \frac{sin(7x)}{7x} \cdot \frac {2x}{sin(2x)} \cdot \frac{1}{cos(7x)}$