If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, tg α.

Correct answer:

sin α =  0.95
cos α =  0.32
tg α =  3

Step-by-step explanation:

cotgα=cosαsinα  sinα=312+32=0.95
tg α=1cotgα=31=3

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Trigonometry
    trigonometry If you know that cos(γ) = sin (806°), what is the angle γ?
  • Q-Exam
    unitCircle If tg α = 9.6, Calculating sin α, cos α, cotg α .
  • Trigonometric functions
    trigonom In the right triangle is: ? Find the value of s and c: ? ?
  • Substitution method
    500px-Sine_cosine_plot.svg Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
  • Right triangle trigonometrics
    triangle2 Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
  • Cuboid
    cuboid_diagonal Determine the dimensions of cuboid a, b, c; if diagonal d=9 dm has angle with edge a α=55° and has angle with edge b β=58°
  • Regular 5-gon
    5gon_2 Calculate the area of the regular pentagon with side 7 cm.
  • Cosine
    cosine The point (3, 4) is on the terminal side of angle θ. cos θ = ?
  • Right
    r_triangle_1 Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
  • Sines
    sines In ▵ ABC, if sin(α)=0.5 and sin(β)=0.6 calculate sin(γ)
  • Steeple
    church_tower We see the church tower from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
  • Mast
    stoziar Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast, if the sun above the horizon is at angle 45°12'.
  • Road
    12perctent The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
  • Sinus
    sine_cosine Determine the smallest integer p for which the equation 4 sin x = p has no solution.
  • Isosceles triangle 10
    iso_23 In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles.
  • Tree
    stromcek_1 Between points A and B is 50m. From A we see a tree at an angle 18°. From point B we see the tree in three times bigger angle. How tall is a tree?
  • Building
    Taipei_101 How high is the building that throws horizontal shadow 95.4 m long at angle 50°?