Solve the equation tan x sec x sin x= tan^{2}x

Joni Kenny 2020-10-21 Answered
Solve the equation \(\tan x \sec x \sin x= \tan^{2}x\)

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

joshyoung05M
Answered 2020-10-22 Author has 26319 answers
Work int the left side. By reciprocal identities, \(\sec x=1/\cos x\) so:
\(\tan x\sec x\sin x=\tan x\times\frac{1}{\cos x}\times\sin x\)
\(\tan x\sec x\sin x=\tan x\times\frac{\sin x}{\cos x}\)
By quotient identity, \(\tan x=\frac{\sin x}{\cos x}\) so:
\(\tan x\sec x\sin x=\tan x\times\tan x\)
\(\tan x\sec x\sin x=\tan^{2}x\)
Not exactly what you’re looking for?
Ask My Question
19
 

Expert Community at Your Service

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