Signs of the Trigonometric functions

Trigonometric functions of sine, cosine, tangent, cotangent are based on the signs of y and x coordinates in the respective four quadrants. θ lies in which Quadrant I II III IV Trigonometric functions Sin θ +ve +ve -ve -ve Cos θ +ve -ve -ve +ve Tan θ +ve -ve +ve -ve Cot θ +ve -ve … Read more

Signs of the Trigonometric functions

Trigonometric functions of sine, cosine, tangent, cotangent are based on the signs of y and x coordinates in the respective four quadrants. θ lies in which Quadrant I II III IV Trigonometric functions Sin θ +ve +ve -ve -ve Cos θ +ve -ve -ve +ve Tan θ +ve -ve +ve -ve Cot θ +ve -ve … Read more

sin2x – cos2x = 1 for all values of x

Prove the identity, ? Unit Circle’s equation is x² + y² = 1 All the points on the circle contains coordinates which make the equation x² + y² = 1, true! On the unit circle, from any arbitrary point (x, y), the representation of coordinates can be given by (sin + cos ), where, is … Read more

Domain and range of polynomial

Since you are dealing with functions and relations, polynomials are probably going to be some of the major concerns. Here are a few important details you may need to know about them. What are polynomials? A polynomial is known to be a series of terms. Also, each one of them is supposed to be the … Read more

Range of a relation

While relations and functions are concerned, it may be important to know about the domain and the range which probably have a great significance in the entire scene. What is range? As you may know already, functions and relations take up inputs and outputs. The inputs are the values entered and the output is undeniably … Read more

Trigonometric functions with the help of unit circle

Definition of trigonometric functions with the help of unit circle With the use of the unit circle, you can easily define the sine, tangent, and cosine functions. In this part, we’ll be redefining these functions in the context of the unit circle. Recalling that the unit circle is the circle which is centrally positioned at … Read more

Radian Measure of an Angle

Measuring angles in radians and in degrees and conversion of one into other Radian Measure of an Angle The measurement of an angle is resolved from the initial side by number of rotation towards the terminal side. One method to measure the angles is in the form of radians. To define, what’s a radian, make … Read more

Positive And Negative Angles

Angle Meaning The number of rotation concerning the intersection point of the two planes or the two lines which are needed to lead the one in accordance with the alternative one is known as the Angle. The angle can be denoted by 3 letters of the shape which defines the angle, with a middle letter, … Read more

Sum, difference, product and quotients of functions

Just like the real numbers which can be divided, multiplied, added, and subtracted to generate other numbers, there’s a helpful way of dividing, multiplying, subtracting, and adding functions for producing different functions. And we describe these operations like the following: Given functions f and g, their sum f + g, difference f – g, product … Read more

Function as a special kind of relation from one set to another

The mathematical function is a powerful tool used for business purposes, applications, the sciences, and engineering as they act in a manner of real-world aspect. To clearly understand the concept of functions and relations, you need to plunge a bit into ordered pairs, relations, and sets. A function is illustrated as a special kind of … Read more