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

Evaluating Trig. Functions Using Reference Angle

The following figures give examples of the standard angle and the reference angle for the different quadrants. Scroll down the page for more examples and solutions. What is The Reference Angle Theorem?The Reference Angle Theorem states thatTo find the value of a trigonometric function of any angle t: Determine the function value for the associated… Continue reading Evaluating Trig. Functions Using Reference Angle

Reference Angle: Examples

Steps to Find Reference Angles The steps to find the reference angle of an angle are explained with an example. Let us find the reference angle of 480°. Step 1: Find the coterminal angle of the given angle that lies between 0° and 360°. The coterminal angle can be found either by adding or subtracting 360° from the… Continue reading Reference Angle: Examples