Question

please help which one is true
A) 1- (sin x/csc x+cot x)
b) 1- (cos x /sec x +tan x)

Answer 1

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

Answer 2

try rewriting the secants, cosecants, tangents, and cotangents as sines and cosines

Answer 3

Also, you've given two expressions - not exactly sure what you mean by "true" seeing as neither is an identity.

Answer 4

Yeah, was just going to ask: what is there to be "true"? There is no = sign anywhere?? lol

Answer 5

A) cos x
B) sin x sorry

Answer 6

you're saying that a equals cos x or b equals sin x...?

Answer 7

the question is A) cos x = 1-(sin x /csc x+cot x )\b) sin x = 1- (cos /sec x + tan x)

Answer 8

is both true ?

Answer 9

You'll want to rewrite everything as sines and cosines.

Answer 10

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......

Answer 11

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?

Answer 12

is it is a muli quiz

Answer 13

Are these the two equations?

\(\Large \cos x = 1-(\dfrac{\sin x}{\csc x}+\cot x )\)

\(\Large \sin x = 1-(\dfrac{\cos x}{\sec x}+\tan x )\)

Answer 14

Well, if it's a quiz, I highly doubt that you are supposed to get help answering the question.

Answer 15

no it is sin x

Answer 16

In any case, if the two equations that @DebbieG wrote are correct, I don't see any consistency in either of them.

Answer 17

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.

Answer 18

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.