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

3 0

3 years ago

Two kids are liars, three can only say the truth. Jane: " Julia is only a liar, if John is telling the truth." Julia: "If Joey d

alexira [117]

The compulsive liars are Jane and Jack. From the statement above, lying to them is nothing. They don't feel any guilt or conscience in doing it. Compulsive liars are those people who lies all the time or making lies are their habit. They find comfort in doing it and does not care of the consequences.

4 0

4 years ago

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Need help ASAP ! Pls help!

Pie

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3 0

4 years ago

el doble de la edad de eduardo excede en 10 años a la edad de jose y 2/3 de la edad de Jose es 1 año menos que la edad de Eduard

VMariaS [17]

Answer:

Step-by-step explanation: