Given theta is an acute angle such that sin theta = 5/13 find the value of tan (theta - pi4)

bobbie71G 2020-12-27 Answered

Given theta is an acute angle such that sin theta = 513 find the value of tan(θπ/4)

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

Fatema Sutton
Answered 2020-12-28 Author has 88 answers

tan(θπ4)=(tanθtan(π4)1+tanθtanπ4)=
tanθ11+tanθ.
In a right triangle with hypotenuse length 13 and a leg length of 5, the other leg has a length 13252=144=12. In this triangle, when sinθ=513 (opp/hyp) then tanθ=oppadj=512.
Therefore tan(θπ4)=51211+512=7121712=717.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

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