I have trouble doing this problem.

The problem:

Let tan β= 6

Find tan(90°-β).

Please and thank you.

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- Aug 13th 2010, 11:48 AMluckystar001Finding tan(90°-β)
I have trouble doing this problem.

The problem:

Let tan β= 6

Find tan(90°-β).

Please and thank you. - Aug 13th 2010, 12:06 PMskeeter
- Aug 13th 2010, 11:43 PMProve It
Just incase you need to show WHY ...

. - Aug 14th 2010, 03:04 AMArchie Meade
Hi luckystar001,

Draw a right-angled triangle,

label the two acute angles and

since the two acute angles must sum to

as all three angles sum to

From the definitions of

you can see the logic in the above posts.

A much less appetizing way is as follows...

As

hence we must take limits by dividing all terms by

In truth we are multiplying by

as