As mathematical approach to prove so many things, the mathematical induction plays a huge role and in the most possible way it’s important for proving the natural numbers’ property (n). As per mathematical induction principle, X(n) property is same for all the natural numbers – 0,1,2,3, ………n. Now, considering the given statement X (n), it … Read more
Since you may be dealing with functions and relations, it would certainly be important to make out the best ways to deal with the identification of their domain and range. Exponential functions and logarithmic functions are known to be very closely tied to one another since a log or logarithm is just another way of … Read more
Modulus function or absolute value function is said to be the one that consists of algebraic expressions that are enclosed within various absolute value symbols. Now, you must be aware of the fact that the absolute value of a number is determined by its distance from zero on the number line. Domain and range of … Read more
Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. Proofs by Induction In this section, we’ll be learning about the mathematical induction which proves that a specific statement holds true for all the integers that are positive. Now, first let’s make a rough guess at … Read more
Function’s domain is defined as the particular set values that an independent variable contained in a function can accept the work. The range exists as resulting values which a dependent variable can hold a value of ‘x’ changes all through the domain. For Cosine and Sine Functions, the Range and Domain There are no limitations … Read more
Since you may be focusing a better grip on functions and relations, it is absolutely important to take a look at suitable operations with rational functions. What is a rational function? A rational function is said to be the one that could be written down as the quotient for two polynomials. For instance, consider a … Read more
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
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
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
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