I have trouble doing this problem.

The problem:

Let tan β= 6

Find tan(90°-β).

Please and thank you.

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- August 13th 2010, 12:48 PMluckystar001Finding tan(90°-β)
I have trouble doing this problem.

The problem:

Let tan β= 6

Find tan(90°-β).

Please and thank you. - August 13th 2010, 01:06 PMskeeter
- August 14th 2010, 12:43 AMProve It
Just incase you need to show WHY ...

. - August 14th 2010, 04:04 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