The sine rule gives the relation between the angles and the corresponding sides of a triangle. For the non-right-angled triangles, we will have to use the sine rule and the cosine rule. For a triangle with sides ‘a’, ‘b’, and ‘c’ and the respective opposite angles are A, B, and C, sine rule can be given as,… Continue reading Sine and Cosine Rule Trig Identities
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What are Trigonometric Identities?
Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain. Basically, an identity is an equation that holds true for all the values of the variable(s) present in it. For example, some of the algebraic identities are:(a + b)2 = a2 + 2ab + b2(a… Continue reading What are Trigonometric Identities?
Trigonometric Identities
Trigonometric identities (trig identities) are equalities that involve trigonometric functions that are true for all values of the occurring variables. These identities are useful when we need to simplify expressions involving trigonometric functions. The following is a list of useful Trigonometric identities: Quotient Identities, Reciprocal Identities, Pythagorean Identities, Co-function Identities, Addition Formulas, Subtraction Formulas, Double… Continue reading Trigonometric Identities
Transformation Of Trig Graphs
In these lessons, we will learn how Trigonometric Graphs can be transformed the amplitude and vertical shift of Trigonometric Graphs the period and phase shift of Trigonometric Graphs The following diagrams show how to determine the transformation of a Trigonometric Graph from its equation. Scroll down the page for more examples and solutions. Amplitude Of… Continue reading Transformation Of Trig Graphs
Tangent, Cotangent, Secant, Cosecant Graphs
The following diagram shows the tangent and cotangent graphs. Scroll down the page for more examples and solutions about Tangent, Cotangent, Secant, Cosecant graphs.
Graphing Trig Functions Practice
Let’s practice what we learned in the above paragraphs with few of trigonometry functions graphing questions. 1) Sketch the graph of y = 5 sin 2x° + 4 Amplitude = 5, so the distance between the max and min value is 10. Number of waves = 2 (Each wave has a period of 360° ÷ 2 = 180°)… Continue reading Graphing Trig Functions Practice
Graphs of Trigonometric Functions
The six trigonometric functions are: Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric graphs for these Trigonometry functions can be drawn if you know the following: Amplitude It is the absolute value of any number multiplied with it on the trigonometric function. The height from the centre line to the peak (or trough) is called amplitude.… Continue reading Graphs of Trigonometric Functions
Tan Graph
The tan function is completely different from sin and cos function. The function here goes between negative and positive infinity, crossing through 0 over a period of π radian. y = tan x The tangent graph has an undefined amplitude as the curve tends to infinity It also has a period of 180°, i.e. π
Cos Graph
y = cos x sin (x + π/2 ) = cos x y = cos x graph is the graph we get after shifting y = sin x to π/2 units to the left Period of the cosine function is 2π Max value of Graph Min value of the graph 1 at 0, 4π -1 at 2π There are a few… Continue reading Cos Graph
Graphs of Trigonometric Functions
Sine, Cosine and tangent are the three important trigonometry ratios, based on which functions are defined. Below are the graphs of the three trigonometry functions sin x, cos x, and tan x. In these trigonometry graphs, x-axis values of the angles are in radians, and on the y-axis, its f(x) is taken, the value of the function… Continue reading Graphs of Trigonometric Functions