44.4k views
3 votes
Simplify the expression:
1-cotx/tanx-1

User Jjoelson
by
7.2k points

1 Answer

1 vote
Multiply numerator and denominator by sin(x) * cos(x), getting:

((sin(x) * cos(x)) - cos^2(x) / (((sin^2(x)) - (sin(x) * cos(x))) =

(cos(x) * (sin(x) - cos(x)))
------------------------------------
(sin(x) * (sin(x) - cos(x)))

and after you cancel the two identical terms (sin(x) - cos(x)), you have:

cos(x)
----------- = cot(x) <--------------- Answer
sin(x)
User Lborgav
by
8.0k points

Related questions

asked Feb 15, 2024 147k views
Zumafra asked Feb 15, 2024
by Zumafra
8.4k points
1 answer
0 votes
147k views
1 answer
4 votes
144k views
2 answers
4 votes
73.7k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.