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# C3 Trig watch

1. Q: Write down the value(s) of in the following:

2. whats tanx in terms of cosx and sinx?

what then is cotx in terms of cosx and sinx?
3. I've got this far:

4. i agree with that.

now whats cotx in terms of tanx?
5. i got this so far 3 = cos^2 (x) / sin^2(x)

is the answer square root of 3?

6. That's where I'm stuck lol
7. tan (x)= cot (90-x)
if that helps...
8. (Original post by darkness9999)
i got this so far 3 = cos^2 (x) / sin^2(x)

is the answer square root of 3?
Yeah

Can you show me your method? Thanks
9. (Original post by theworldwonders)

That's where I'm stuck lol
so 3/cotx = cotx

how did you solve equations like 3/u = u back in GCSE?
10. (Original post by Rocious)
so 3/cotx = cotx

how did you solve equations like 3/u = u back in GCSE?
Erm, my memory is failing me

Is it anything to do with rationalizing the denominator?
11. (Original post by theworldwonders)
Yeah

Can you show me your method? Thanks
times both sides by cos x and sin x

u will get then 3 sine^2 (x) = cos^2 (x)
3 = cos^2 (x) / sin ^2 (x) = cos ^ 2 (x)
so take the square root of both sides and ull get the answers
12. (Original post by theworldwonders)
Erm, my memory is failing me

Is it anything to do with rationalizing the denominator?
if multiply both sides of 3/cotx = cotx by cotx

you'll get

3 = (cotx)^2

and you can see why cotx = root3

and you can also hopefully see the other solution
13. I would have transformed the original equation to:
3tanx = cotx
move the tanx over
3 = cot^2x
square root both sides,
cotx = square root of 3
14. (Original post by Rocious)
if multiply both sides of 3/cotx = cotx by cotx

you'll get

3 = (cotx)^2

and you can see why cotx = root3

and you can also hopefully see the other solution
Ah, of course

Thank you!

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