Posted by **Jess** on Wednesday, February 7, 2007 at 5:32pm.

How do I solve this? My work has led me to a dead end.

tan(45-x) + cot(45-x) =4

my work:

(tan45 - tanx)/(1+ tan45tanx) + (cot45 - cotx)/(1 + cot45cotx) = 4

(1-tanx)/(1+tanx) + (1-cotx)/(1+cotx) = 4

Then I found a common denominator, giving me this:

(2-2cotxtanx)/(1+cotx+tanx+cotxtanx) =4

I can't cancel the cotxtanx's because they're in the middle of a term, right? So where do I go from here? Or did I make a mistake somewhere?

This is how I would soleve it. First put 45 - x = y. Then:

Sin(y)/Cos(y) + Cos(y)/Sin(y) = 4 -->

[Sin^2(y) + Cos^2(y)]/(Sin(y)Cos(y)) = 4

1/(Sin(y)Cos(y)) = 4 --->

Sin(2y) = 1/2

## Answer This Question

## Related Questions

- Math - 1)A piano tuner uses a tuning fork. If middle C has a frequency of 264 ...
- math - solve each identity algebraically 1)(1-tanx)/(1-cotx)=-tanx 2)(1+cotx)/(1...
- a math - Prove cotx-1/cotx+1 = sec2x - tan2x I prove till cotx-1/cotx+1 =1/1+...
- Trig - Verify that each of the following is an identity. tan^2x-sin^2x=tan^2xsin...
- trig - verify the identity: tan^2x(1+cot^2x)=1/1-sin^2x Verify the Id: tanx + ...
- trig - Verify the trigonometric identity. Please show all steps. tanx-cotx/tanx+...
- trig - verify the identity (tanx+cotx) (1) __________ = ______________ (tanx-...
- matj - prove that (cotx+tanx)(cotx-tanx) = 1/(sin^2 x) - 1/(cos^x)
- trigonometry - tanx-cotx/tanx+cotx=1-2cos squardx
- Math - Im really struggling with these proving identities problems can somebody ...

More Related Questions