Trigonometry

A:

"Plane trigonometry" is a branch of mathematics that focuses on the relationship between the sides and angles of a triangle. Plane trigonometry builds upon the basic concepts of Euclidean geometry, and it has applications in a variety of mathematical fields, from physics to advanced calculus.

See Full Answer
Filed Under:
  • Who are the mathematicians who contributed to trigonometry?

    Q: Who are the mathematicians who contributed to trigonometry?

    A: Trigonometry developed in many parts of the world over thousands of years, but the mathematicians who are most credited with its discovery are Hipparchus, Menelaus and Ptolemy. Isaac Newton and Euler contributed developments to bring trigonometry into the modern age.
    See Full Answer
    Filed Under:
  • What is the definition of "plane trigonometry"?

    Q: What is the definition of "plane trigonometry"?

    A: "Plane trigonometry" is a branch of mathematics that focuses on the relationship between the sides and angles of a triangle. Plane trigonometry builds upon the basic concepts of Euclidean geometry, and it has applications in a variety of mathematical fields, from physics to advanced calculus.
    See Full Answer
    Filed Under:
  • Does an isosceles triangle have rotational symmetry?

    Q: Does an isosceles triangle have rotational symmetry?

    A: An isosceles triangle could have rotational symmetry if it were also an equilateral triangle. An isosceles triangle is a triangle with at least two equal sides. An equilateral triangle is a triangle with exactly three equal sides. By definition, all equilateral triangles are also isosceles triangles.
    See Full Answer
    Filed Under:
  • What are complementary angles in real life?

    Q: What are complementary angles in real life?

    A: When it is three o���clock, the two hands of the clock are on digits 12 and 3. The seconds hand moves between these two digits and forms a pair of complementary angles in real life. The sum of the two angles formed by the seconds hand is always 90 degrees.
    See Full Answer
    Filed Under:
  • How do you draw a parabolic curve?

    Q: How do you draw a parabolic curve?

    A: According to the University of California, San Diego (UCSD), a parabolic curve, or "parabola," is the graphical representation of a quadratic equation. To draw one, the points of a function are plotted on an x-y coordinate grid and the plotted points are connected in succession. The solution should look similar to the bottom half of a circle.
    See Full Answer
    Filed Under:
  • What are the branches of trigonometry?

    Q: What are the branches of trigonometry?

    A: The two main branches of trigonometry are plane trigonometry and spherical geometry. Trigonometry in general deals with the study of the relationships involving the lengths of angles and triangles.
    See Full Answer
    Filed Under:
  • How is trigonometry used in aviation?

    Q: How is trigonometry used in aviation?

    A: Trigonometry is used in aviation extensively, both in the calculations performed by the machines and computers used by the pilots, and by pilots performing quick rudimentary calculations and estimates themselves. Trigonometry and trigonometric functions are used to estimate distances and landing patterns and navigate around obstacles.
    See Full Answer
    Filed Under:
  • What is a line through a circle called?

    Q: What is a line through a circle called?

    A: The line that intersects a circle can be called a diameter, a secant or a chord. The proper term depends on the line's properties and where the line intersects the circle.
    See Full Answer
    Filed Under:
  • How do I calculate the incline of a treadmill?

    Q: How do I calculate the incline of a treadmill?

    A: The incline of a treadmill in degrees is not the same as the gradient, which is given in percentage, and some treadmills do not display either figure. Calculate the incline of your treadmill on your own with a measuring tape and a calculator.
    See Full Answer
    Filed Under:
  • Q: How is the perimeter of a parallelogram calculated?

    A: The perimeter of a parallelogram is equal to the sum of the four lengths that make up the parallelogram. Instead of adding up all four sides, a person can find the perimeter by adding the width and the height and then multiplying the sum by two.
    See Full Answer
    Filed Under:
  • Q: When was trigonometry invented?

    A: Ancient Egyptian and Greek philosophers used an early form of trigonometry that involved calculating chords to obtain the angles of a triangle. This method was effective for Euclidean plane geometry, but the heart of trigonometry, the sine, was developed in India in the sixth century.
    See Full Answer
    Filed Under:
  • Q: How do you find the cosine of pi?

    A: The trigonometric functions sine, cosine and tangent calculate the ratio of two sides in a right triangle when given an angle in that triangle. To find the cosine of angle pi, you need graph paper.
    See Full Answer
    Filed Under:
  • What does the equation "a2 + b2 = c2" refer to?

    Q: What does the equation "a2 + b2 = c2" refer to?

    A: The equation "a2 + b2 = c2" refers to the Pythagorean theorem. With this theorem, it is possible to find the length of any side of a right triangle when given the length of the other two sides.
    See Full Answer
    Filed Under:
  • Q: Why does "m" represent slope?

    A: Various unsubstantiated theories exist regarding the use of the letter "m" to denote the slope in the straight-line equation, but the actual reason is unknown. Some believe that the mathematician Descartes used "m" for slope for the French word "monter," which means to climb. However, there is no evidence that he utilized this letter symbol for slope.
    See Full Answer
    Filed Under:
  • What is the natural log of e?

    Q: What is the natural log of e?

    A: The natural logarithm of e is equal to 1. Using mathematical notation, the equation is written as ln(e) = 1, where e is a mathematical constant known as Euler's number and is equal to about 2.72.
    See Full Answer
    Filed Under:
  • Q: What is the integral of tan(x)?

    A: The integral of tan(x) is -ln |cos x| + C. In this equation, ln indicates the function for a natural logarithm, while cos is the function cosine, and C is a constant.
    See Full Answer
    Filed Under:
  • Q: What is cos 30 degrees?

    A: The cosine of 30 degrees is 0.86. It is also expressed as the square root of three divided by two. The cosine of an angle is calculated by dividing the length of the side of a right triangle adjacent to the acute angle by the length of the hypotenuse.
    See Full Answer
    Filed Under:
  • Q: How is trigonometry used in architecture?

    A: Architects use trigonometry to describe the shapes and forms of a building using numerical equations. These equations are translated easily by any contractor to reproduce the exact building the architect had in mind.
    See Full Answer
    Filed Under:
  • Q: What is an online right triangle calculator?

    A: An online right triangle calculator is a program that calculates the unknown side lengths or angle measurements. It uses the known side length and angle measurements for its calculations.
    See Full Answer
    Filed Under:
  • Q: What is an application of trigonometry?

    A: One application of trigonometry in the real world is determining the distance and location of faraway objects. This is useful in navigation and in surveying. Historically, trigonometry was also applied to determine the position of heavenly bodies, but this use has been supplanted by linear algebra in modern times.
    See Full Answer
    Filed Under:
  • Q: What is cos 0 degrees equal to?

    A: The cosine of zero degrees is equal to one. The cosine is a trigonometric function that can be defined through the Pythagorean Theorem as the length of the side of a right triangle adjacent to an angle over the hypotenuse of the triangle.
    See Full Answer
    Filed Under:

Explore Geometry