Given the following information about one trigonometric function, evaluate the other five functions. cos u=5/13 , where 0 <= u <= pi/2.

opatovaL 2021-02-09 Answered
Given the following information about one trigonometric function, evaluate the other five functions.
cosu=513 , where 0uπ2.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

svartmaleJ
Answered 2021-02-10 Author has 92 answers
Angle is in first quadrant and we know that in first quadrant all six trigonometric functions are positive.
Given, cosu=513
We have identity sin2x+cos2x=1
Therefore,
sinu=1cos2u
=1(513)2
=125169
=16925169
=144169
=1213
Now, finding other trigonometric function.
tanu=sinucosu
=1213513
=125
secu=1cosu
=1513
=135
cosecu=1sinu
=11213
=1312
cotu=1tanu
=1125
=512
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-12-14 Author has 2313 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions