Trigonometry

posted by .

How do you solve the equation
5√3 secθ = 10 in degree measure?

please explain.

  • Trigonometry -

    secØ = 10/5√3 = 2/√3
    then
    cosØ = √3/2

    You should be familiar with the 1 : √3 : 2 right-angled triangle which has angles of 30:60:90
    thus Ø = 30°
    but the cosine is also positive in the fourth quadrant
    so Ø could be 330°

    Ø = 30° or Ø = 330°

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Trig Substitution

    How can I solve the integral of x^3√(9-x^2) dx using trigonometric substitution?
  2. Pre-Calculus

    If θ represents an angle such that sin2θ = tanθ - cos2θ, then sin θ - cosθ = A. -√2 B. 0 C. 1 D. 2√2 What equation can I use to solve this problem?
  3. trigonometry

    4.if cotθ = -√15/7 , use the fundamental identities to find cosθ > 0 9.A projectile is fired with an initial velocity of 88 ft/sec at an angle of 35° to the horizontal. Neglecting air resistance, what is the time …
  4. Trigonometry

    1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that …
  5. trig

    An object Is propelled upward at an angle θ, 45° < θ<90°, to the horizontal with an initial velocity of (Vo) feet per second from the base of a plane that makes an angle of 45° with the horizontal. If air resistance …
  6. trigonometry help please :(

    2) Simplify √-1-4/5-√-1 A.-1/24+19/24i B.-21/26+1/26i C.-19/24-1/24i D.-1/26-21/26i 3) How many petals do the two rose curves r = 9 cos 61θ and r = 8 sin 60θ have combined?
  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. Trigonometry

    Solve for θ in the equation cos θ = -0.181 when 180º < θ < 360º. Round your answer to the nearest tenth of a degree.
  9. Precalc/Trig

    Sorry there are quite a few problems, but I just need to know if these are correct (and if they aren't, where I went wrong): 1. Solve these equations. tanθ = -√3 θ = 2π/3 + kπ θ = 5π/3 + kπ …
  10. trigonometry

    Verify that sec(θ)/csc(θ)-cot(θ) - sec(θ)/csc(θ)-cot(θ) = 2csc(θ) is an identity. can some help me through this?

More Similar Questions