Cosine - math word problems

Number of problems found: 138

  • Cosine
    theta Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and with the hypotenuse 8.544.
  • Cosine
    cosine The point (3, 4) is on the terminal side of angle θ. cos θ = ?
  • Angles by cosine law
    357_triangle Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
  • Cuboids
    3dvectors Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)
  • 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)
  • Scalene triangle
    triangles_1 Solve the triangle: A = 50°, b = 13, c = 6
  • Q-Exam
    unitCircle If tg α = 9.6, Calculating sin α, cos α, cotg α .
  • Angle between lines
    angle_two_lines Calculate the angle between these two lines: ? ?
  • Cotangent
    sin_cos If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.
  • Side c
    trig-cos-law In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
  • Earth's circumference
    parallels Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.
  • Trigonometry
    trigonometry If you know that cos(γ) = sin (806°), what is the angle γ?
  • Earth parallel
    parallels Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
  • Trigonometric functions
    trigonom In the right triangle is: ? Find the value of s and c: ? ?
  • Pentagon
    5gon_3 Calculate the area of a regular pentagon, which diagonal is u=17.
  • Right
    r_triangle_1 Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
  • One side
    angle_incline One side is 36 long with a 15° incline. What is the height at the end of that side?
  • Substitution method
    500px-Sine_cosine_plot.svg Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
  • Road
    12perctent The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
  • ABCD
    trig_1 AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD

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