1. trigonometry

how do i show that tangent squared 8x all divided by sin4x multiply by sin2x is equal to 8 and x gets closer to 0

2. Originally Posted by Rose Wanjohi
how do i show that tangent squared 8x all divided by sin4x multiply by sin2x is equal to 8 and x gets closer to 0
huh? you are talking about limits here, right?

do you mean: $\lim_{x \to 0} \frac {\tan^2 8x}{\sin 4x \cdot \sin 2x}$ or $\lim_{x \to 0} \frac {\tan^2 8x}{\sin 4x} \cdot \sin 2x$ ?

it seems you mean the first.

Hint: multiply by $\frac {64x^2 \cdot 4x \cdot 2x}{64x^2 \cdot 4x \cdot 2x}$, rearrange and apply the limits according to the special limits you've learned $\left( \lim_{x \to 0} \frac {\sin x}x = 1 \text{ and } \lim_{x \to 0} \frac {\tan x}x = 1 \right)$

3. yeah

i meant limits and you almost answered my question but when i tried doing it, i get an answer, 1/8 instead of 8 what am i doing wrong?

4. Originally Posted by Rose Wanjohi
i meant limits and you almost answered my question but when i tried doing it, i get an answer, 1/8 instead of 8 what am i doing wrong?
If you expect an answer to this question you will need to show your working.