Trig proof

[q_fruit]

Show that (sinx)/(1-cosx) = (1+cosx)/(sinx) is true for x=pi/4

On the left side I get 1/((2^1/2)-1) while on the right I get (2(2^1/2)+2)/2.

If they are somehow the same thing...I'll feel really stupid. Otherwise, I can't get this. I've tried about 4 times.

T.I.A.

 

[tkhunny]

sin(pi/4) = cos(pi/4) = ½*sqrt(2)

 

[q_fruit]

I can't change it. I have to solve each side on its own to prove that they are equal. But I think it turns out that they're not equal...

 

[tkhunny]

Make up your mind. Are you showing it for pi/4 or are you proving it for all values in the Domain?

Showing it for pi/4

See above

Proving it for all values in the Domain?

Multiply the left-hand side numerator and denominator separately by (1+cos(x) and see what pops out.