Mindblown: a blog about philosophy.
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What Do You Mean by Height and Distances?
The most significant definitions that are used when dealing with heights and distances are given as: Line of sight: It is the line drawn from the eye of an observer to the point in the object viewed by the observer. Here, the cat is the observer and the object is the bird. The angle of elevation: The angle…
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Heights and Distances
In this topic, we will be studying some ways in which trigonometry is used in life around you. What is meant by trigonometry? Trigonometry is one of the most ancient subjects studied by scholars all over the world. Trigonometry was invented because its need arose in astronomy. Since then astronomers have used it, for instance, to calculate distances…
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Properties of Tangent Function
Next, let us go through some of the important properties of the tangent function. The basic properties of tan x along with its value at specific angles and the trigonometric identities involving tan x are: Important Notes on Tangent Function:
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Tangent Function
The tangent function is one of the basic trigonometric functions and is quite a commonly used function in trigonometry. The tangent function can be expressed as the ratio of the sine function and cosine function. In a right-angled triangle, the formula for the tangent function is expressed as the ratio of the perpendicular and base of the…
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Law of Cosines
The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Using trigonometry, we can now obtain values of distances and angles which cannot be measured otherwise. The law of cosines finds application while computing the third side of a triangle given two sides and…
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Law of Sines
The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for “solving a triangle”. According to the sine rule, the ratios of the side lengths of a triangle to the sine of their respective opposite…
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Trig Functions in Four Quadrants
The angle θ is an acute angle (θ < 90°) and is measured with reference to the positive x-axis, in the anticlockwise direction. Further, these trig functions have different numeric signs (+ or -) in the different quadrants, which are based on the positive or negative axis of the quadrant. The trigonometric functions of Sinθ,…
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Trigonometric Functions Formulas
We have certain formulas to find the values of the trig functions using the sides of a right-angled triangle. To write these formulas, we use the abbreviated form of these functions. Sine is written as sin, cosine is written as cos, tangent is denoted by tan, secant is denoted by sec, cosecant is abbreviated as…
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What are Trigonometric Functions?
There are six basic trigonometric functions used in Trigonometry. These functions are trigonometric ratios. The six basic trigonometric functions are sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function. The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are…
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Trigonometric Functions
Trigonometric functions are the basic six functions that have a domain input value as an angle of a right triangle, and a numeric answer as the range. The trigonometric function (also called the ‘trig function’) of f(x) = sinθ has a domain, which is the angle θ given in degrees or radians, and a range of…
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