Wednesday

November 26, 2014

November 26, 2014

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

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 ...

trigonometry - How do you find: cot(-5pie/4)? you have to know that cotx = 1/...

Trig - Verify that each of the following is an identity. tan^2x-sin^2x=tan^2xsin...

pre-calc - Can someone help me find the exact value of 4csc(3pi/4)-cot(-pi/4)? ...

Math-Trig - 1. Create an algebraic expression for sin(arccosx-arcsin3x) 2. The ...

trig - verify the identity: tan^2x(1+cot^2x)=1/1-sin^2x Verify the Id: tanx + ...

Pre Calculus - I keep trying to solve this by factring but I can't seem to get! ...

TRIG.............. - Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + ...

TRIGONOMETRY *(MATHS) - Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x...

arithmetic - if tanx+cotx=2 then the value of tan^5x + cot^10x is