Sine - examplesMost 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.
- 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).
- 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)
Between cities A and B is route 3 km long of rise average 4‰. Calculate the height difference of cities A and B.
Is true equality? ?
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
- Height 2
Calculate the height of the equilateral triangle with side 43.
The longer leg of a 30°-60°-90° triangle measures 7. What is the length of the shorter leg?
- Cable car 2
Cable car rises at an angle 39° and connects the upper and lower station with an altitude difference of 345 m. How long is the track of cable car?
- Trigonometric functions
In right triangle is: ? Determine the value of s and c: ? ?
The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the another end of the fence?
- Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=7 m.
- Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has maximum area.
- Regular 5-gon
Calculate area of the regular pentagon with side 11 cm.
If you know that cos(α) = sin (-968°), what is the angle α?
- Equilateral triangle
How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 7 mm from it?
Steeple seen from the road at an angle of 57°. When we zoom out to 25 meters, it is seen at an angle of 21°. What is high?
- Goat and circles
What is the radius of a circle centered on the other circle and the intersection of the two circles is equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which g
Calculate the length of the side FL and diagonal JL of rectangle JFLB when given: |BL| = 33 cm and angle ∠ JFB = 32 degrees.
What is the side length of the regular 5-gon inscribed in a circle of radius 11 cm?
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 20 cm.