Cosine - math word problems
Number of problems found: 138
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and with the hypotenuse 8.544.
The point (3, 4) is on the terminal side of angle θ. cos θ = ?
- Angles by cosine law
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).
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
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
Solve the triangle: A = 50°, b = 13, c = 6
If tg α = 9.6, Calculating sin α, cos α, cotg α .
- Angle between lines
Calculate the angle between these two lines: ? ?
If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.
- Side c
In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
- Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.
If you know that cos(γ) = sin (806°), what is the angle γ?
- Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
- Trigonometric functions
In the right triangle is: ? Find the value of s and c: ? ?
Calculate the area of a regular pentagon, which diagonal is u=17.
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
- One side
One side is 36 long with a 15° incline. What is the height at the end of that side?
- Substitution method
Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD