Math

posted by .

Find sec θ and csc θ. If tan θ =3 and cos θ>0. Please helpp, i don't get identities

  • Math -

    cosØ>0 tells me Ø is in either I or IV
    tanØ = 3 tells me Ø is in I or III
    So Ø must be in the 1st quadrant

    tanØ = 3 = 3/1 = opposite/adjacent
    so construct your triangle with those sides,
    easy to see that the hypotenuse is √10

    so cosØ = 1/√10 ----> secØ = √10
    and sinØ = 3/√10 ---> cscØ = √10/3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math- Simplifying Identities

    1.) cot(-θ)(secθ) I think the answer is secθ but I don't know how to get this. 2.) (tanθ) / (cos)(90° -θ) 3.) 3sin2xcos2x - sin4x 4.) (cosx + tanx) / (csc^2 x)
  2. trig

    The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line. Line: (55/48)x Quadrant:III sin(θ)= cos(θ)= tan(θ)= …
  3. Trigonometry

    Which of the following is equivalent to 1 − cos 2 θ/cos 2 θ?
  4. pre-calc help !!!!!!!

    1) cscθsinθ-sin^2θ 2)sinθcscθ/tanθ 3)secθ/cotθ+tanθ 4)(1-cosθ)(1+cosθ)
  5. math trigono

    1. If tanθ = –√3 , what is the value of cot ?
  6. Trig

    Given that csc θ = -4 and tan θ > 0, find the exact value of a. x b. sin θ c. cos θ d. r e. sec θ f. cot θ
  7. Trigonometry

    Could someone please help me with the following q's I'm having some trouble: 1.) cot θ (theta) = 0.791, find sec θ and tan θ 2.) tan θ = 9/40, what is the value sin^2θ + cos^2θ
  8. Math Question

    Find the values of the six trigonometric functions of an angle in standard position where the terminal side is going through the point (-1, 1). Sinθ = Cosθ= Tanθ= Cscθ= Secθ= Cotθ=
  9. Math Question

    Given tan θ = -8/5 and sin θ < 0, find sin θ, cos θ, csc θ, sec θ, and cot θ.
  10. precalculus

    the following is a point not on a unit circle. θ → (-5,4) use it to find: 1. cos θ = -5 2. csc θ = 1/4 am i correct?

More Similar Questions