anonymous
  • anonymous
please help which one is true A) 1- (sin x/csc x+cot x) b) 1- (cos x /sec x +tan x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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inkyvoyd
  • inkyvoyd
remember than csc x=1/sin x and sec x=1/cos x; cot x=cos x/sin x; tan x=sin x/cos x
inkyvoyd
  • inkyvoyd
try rewriting the secants, cosecants, tangents, and cotangents as sines and cosines
inkyvoyd
  • inkyvoyd
Also, you've given two expressions - not exactly sure what you mean by "true" seeing as neither is an identity.

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More answers

DebbieG
  • DebbieG
Yeah, was just going to ask: what is there to be "true"? There is no = sign anywhere?? lol
anonymous
  • anonymous
A) cos x B) sin x sorry
inkyvoyd
  • inkyvoyd
you're saying that a equals cos x or b equals sin x...?
anonymous
  • anonymous
the question is A) cos x = 1-(sin x /csc x+cot x )\b) sin x = 1- (cos /sec x + tan x)
anonymous
  • anonymous
is both true ?
inkyvoyd
  • inkyvoyd
You'll want to rewrite everything as sines and cosines.
DebbieG
  • DebbieG
Is one of them definitely true? Can they both be false? @inkyvoyd were you able to show one is true? I'm not sure either one of them is true......
DebbieG
  • DebbieG
If you try both for \(x=\dfrac{\pi}{4}\), neither works out. @Lindie are you sure that you have given the problem exactly as you have it?
anonymous
  • anonymous
is it is a muli quiz
DebbieG
  • DebbieG
Are these the two equations? \(\Large \cos x = 1-(\dfrac{\sin x}{\csc x}+\cot x )\) \(\Large \sin x = 1-(\dfrac{\cos x}{\sec x}+\tan x )\)
DebbieG
  • DebbieG
Well, if it's a quiz, I highly doubt that you are supposed to get help answering the question.
anonymous
  • anonymous
no it is sin x|dw:1378136002010:dw|
inkyvoyd
  • inkyvoyd
In any case, if the two equations that @DebbieG wrote are correct, I don't see any consistency in either of them.
inkyvoyd
  • inkyvoyd
If it's 1-sin x/(csc x+cot x)=cos x, rewrite everything as sines and cosines and simplify the equation as you would any algebraic one.
DebbieG
  • DebbieG
Yes, that makes a huuuuge difference. If you don't want to use the equation editor (which is fine), it's really really important that you carefully and EXACTLY state the COMPLETE problem. Just use ( ) carefully and it is much easier to understand. You said: cos x = 1-(sin x /csc x+cot x ) What you meant was: cos x = 1-sin x /(csc x+cot x ) ...and that one little misplaced parenthesis makes all the difference in the world. :) Like @inkyvoyd said, put everything in terms of sines and cosines, and you'll also need to use the fundamental ID along the way, as well as some factoring skills.

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