Finding the Exact Values of tan 165 and tan 285 using sin and cos

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In summary, the conversation is about finding the exact value of tan 165 and tan 285. The speaker suggests using a calculator and applying the formula tan(pi/3-pi/4). They also discuss finding sin 165 and cos 165 and using them to find tan 165. The speaker advises checking for different ways to write the exact value.
  • #1
Maria
How do I find the exact value of tan 165 and tan 285
I think it has got something to do with
sinx
tanx = cosx
 
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  • #2
Susan meets Maria on PF ground and ready to fight

The best best way is use a calculator!
The best way is pi/12=pi/3-pi/4 and then try applying the formula calculating tan(pi/3-pi/4), your goning to get there

Susan
 
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  • #3
that`s not enough on a test
 
  • #4
do you know how to find sin 165?
 
  • #5
Maria said:
that`s not enough on a test
why:mad: not enough ?
 
  • #6
I`ve found sin 165 and tan 165,and I`ve tried
sinx
tanx = cosx
but I can`t get the answer right..
 
  • #7
All right, I'm confused as to just what you're trying to do... I thought you said you were unable to find tan 165?
 
  • #8
oh sorry..
sin165
What I meant was tan1 65 = cos165

I know sin 165and cos 165.. Have I got things right so far?
 
  • #9
Have you been trying to write tan 165 = sin 165 / cos 165?

If you have the right values for sin 165 and cos 165, then dividing will give you the right value for tan 165.

Keep in mind that there are lots of ways to write the exact value for tan 165, so if the answer doesn't look like the books answer, see if you can find a way to be sure they are the same or different.
 

FAQ: Finding the Exact Values of tan 165 and tan 285 using sin and cos

What is the formula for finding the exact value of tan 165 using sin and cos?

The formula for finding the exact value of tan 165 using sin and cos is tan 165 = sin 165 / cos 165.

What is the formula for finding the exact value of tan 285 using sin and cos?

The formula for finding the exact value of tan 285 using sin and cos is tan 285 = sin 285 / cos 285.

How do you find the value of sin 165 and cos 165?

The value of sin 165 and cos 165 can be found using a calculator or by using trigonometric identities. For example, sin 165 = sin (180 - 15) = sin 15 and cos 165 = cos (180 - 15) = -cos 15.

What are the values of sin 285 and cos 285?

The values of sin 285 and cos 285 can also be found using a calculator or by using trigonometric identities. For example, sin 285 = sin (360 - 75) = -sin 75 and cos 285 = cos (360 - 75) = -cos 75.

How do you find the exact value of tan 165 and tan 285 using sin and cos?

To find the exact value of tan 165 and tan 285 using sin and cos, first find the values of sin and cos for 165 and 285 degrees. Then, use the formula tan x = sin x / cos x to calculate the exact values of tan 165 and tan 285.

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