Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2007-04-14 16:22:39

akspar
Guest

Proving trig identity

I have had trouble solving this problem.

Beginning with the trigonmetic identity
cos^2(phi)+ sin^2(phi) = 1

show that the trigonmetric identity
cot(phi) + csc(phi) = sin(phi)/ 1 - cos(phi) holds

any help would be much appreciated.

#2 2007-04-14 17:59:58

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Proving trig identity

sin(phi)/ 1 or 1/sin(phi) ?


Numbers are the essence of the Universe

Offline

#3 2007-04-14 18:09:02

akspar
Guest

Re: Proving trig identity

Here is a better illustration of it.

#4 2007-04-14 22:05:49

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Proving trig identity

Well, you’re told to begin with the trig identity, so start there.

Now divide by sin(φ)(1−cos(φ)) and you’ll get the answer. smile

Offline

#5 2007-04-14 22:19:25

akspar
Guest

Re: Proving trig identity

Thanks so much, can't believe i didn't c that.

Board footer

Powered by FluxBB