# Thread: I can't solve this easy question ?

1. ## I can't solve this easy question ?

I can't solve this easy question ?

2. Originally Posted by r-soy
I can't solve this easy question ?
You can't cancel out like that.

Remember that $\displaystyle \csc(x) = \frac{1}{\sin(x)}$

Therefore, try this:

$\displaystyle \frac{\sin(x) + \cos^2(x)}{\sin(x)} = \csc(x)$

$\displaystyle \sin(x) + \cos^2(x) = \frac{1}{\sin(x)} \times \sin(x)$

$\displaystyle \sin(x) + \cos^2(x) = 1$

Now, remember that $\displaystyle sin^2(x) + cos^2(x) = 1$. You can use this to write $\displaystyle \cos^2(x)$ in terms of $\displaystyle \sin(x)$ which will give you a quadratic in $\displaystyle \sin(x)$ to solve.

3. Are you now solve the question ?

we take LHS or RHS ?

help me

4. Originally Posted by r-soy
Are you now solve the question ?

we take LHS or RHS ?

help me
You have been told what to do. You're expected to show some effort now. If still you're still stuck, please say exactly where you're stuck.

(By the way ... it's an equation NOT and identity. You have to solve for x).