If cot theta= -sqrt{3} text{and} sec theta<0Find sin theta

Tammy Todd 2021-01-31 Answered

If cotθ=3 and secθ<0
Find sinθ

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

Nola Robson
Answered 2021-02-01 Author has 94 answers

Given that cotθ=3<0 and secθ then θ is in QII so sinθ>0.
since cotθ=3=31 we can let adj =3 and opp =1
opp2+adj2=hyp2
(1)2+(3)2=hyp21+3=hyp2
4=hyp2
hyp=2
So, sinθ=opphyp
since sinθ>0
sinθ=12

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