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Trig trick (Posted on 2002-11-07) Difficulty: 1 of 5
Prove that
    sinē x + cosē x = 1

  Submitted by Dulanjana    
Rating: 2.4545 (11 votes)
Solution: (Hide)
If you take the right angled triangle ABC (Where b is a right angle and C = x) then

sin^2 x = AB^2/AC^2
cos^2 x = BC^2/AC^2

Therefore sin^2 x + cos^2 = (AB^2 + BC^2)/AC^2

But AB^2 + BC^2 = AC^2 (Pythogorean Thoerem)

Through substituition AC^2/AC^2 = 1

So sin^2 x + cos^2 = 1

Comments: ( You must be logged in to post comments.)
  Subject Author Date
By definitionJer2012-12-21 17:45:47
SolutionSolutionK Sengupta2007-05-28 12:06:41
re:Rebecca Jaffe2005-08-30 08:16:51
Questionwhat is.....Billy Bob2004-03-28 10:53:05
re(2): duhGamer2003-10-10 19:41:57
Questionre: duhSilverKnight2003-10-09 21:17:38
duhDrew2003-10-09 20:12:44
re(2): Solutionnikki2003-07-17 12:17:37
SolutionChaz2003-05-03 02:53:36
re: Solutionseraphya berrin2002-11-23 14:07:50
re: JamesDulanjana2002-11-09 22:42:20
No SubjectJames2002-11-09 05:45:19
Hints/TipsSolutionHappy2002-11-08 12:17:08
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