Secant Formula

Secant Formula

An important area of Mathematics is trigonometry. On the basis of a right-angled triangle, it defines six trigonometric ratios. The sine, cosine, and tangent trigonometric ratios are the three widely used and well-known ones. Secant, cosecant, and cotangent are three additional ratios, though. Three of these six trigonometry ratios are fundamental, and the remaining three are derived. The cosine ratio is used to calculate secant. The ratio of the hypotenuse’s length to the length of the adjacent side determines the secant of any angle in a right-angled triangle. Its abbreviation in formulas is “sec.” The secant method does not always converge because, unlike the bisection method, it does not demand that the root remain bracketed. The Secant Formula is also used by the false position method. 

The hypotenuse is the largest side and is located on the side that is perpendicular to the right angle. The secant of the angle, or right-angled triangle’s angle, is obtained by dividing the length of the hypotenuse by the length of the adjacent side. The symbol for secant is “sec”. The inverse cosine (cos) ratio is the starting point for the secant formula. Since the secant function is the cosine function’s reciprocal, it reaches infinity whenever the cosine function reaches zero (0). The hypotenuse, the perpendicular side (the opposite), and the adjacent side, which is the height, are the three sides of a right-angled triangle. The triangle’s hypotenuse is its longest side, the perpendicular side is the side that faces the angle opposite it, and the adjacent side is the side on which the hypotenuse and opposite side rest. The hypotenuse of a right triangle is calculated as the hypotenuse divided by the base. The secant of the angle in a right-angle triangle is obtained by dividing the length of the hypotenuse by the area of the adjacent side. Trigonometry is based on six ratios: sine, cosine, tangent, cotangent, secant, and cosecant. The opposite of the cosine value is secant. When the cosine function is equal to zero, the secant function is undefined. Sec2x + Tan2x = 1 is the Pythagorean theorem used to determine the secant value. 

What is Secant Formula?

Three sides make up a right-angled triangle: the hypotenuse, the perpendicular opposite side, and the adjacent side (Height). The largest side is called the hypotenuse, the opposite side is called the opposite, and the adjacent side is where the hypotenuse and opposite rest. In a right triangle, the secant of the angle is determined by dividing the length of the hypotenuse by the length of the adjacent side. Students must learn the Secant Formula. Learning Secant Formula is necessary for solving questions. All the difficult questions based on the Secant Formula can be solved with the help of the Extramarks learning platform. Students are advised to access NCERT solutions for all the exercises of each chapter from Extramarks. It is crucial for students to keep assessing their exam preparation. 

Examples Using Secant Formula

Students are advised to keep practising questions regarding the Secant Formula on a regular basis. It is crucial for students to revise the Secant Formula. Solving questions will help students to retain the Secant Formula for a longer time in their memory. Students need to access study materials from credible sources to prepare well for the examination. 

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Complex Number Formula Cot Half Angle Formula
Distributive Property Formula Cot Tan Formula
Double Angle Formulas Difference Of Squares Formula
Hexagon Formula Hexagonal Pyramid Formula
Hyperbolic Function Formula Regression Sum Of Squares Formula
Pyramid Formula X And Y Intercept Formula

FAQs (Frequently Asked Questions)

1. What purpose does the Secant Formula serve?

The definite integrals are approximated using the Secant Formula. The Secant Formula needs to be updated frequently. It is advised that students go over all of the questions involving the Secant Formula.

2. What types of study materials are available on Extramarks for students to use in order to get ready for their examinations?

Solutions to questions about the Secant Formula can be downloaded in PDF format by students from Extramarks. Regularly practising questions is made possible by using the Extramarks website and mobile application as a resource. They can also utilise study resources like the past years’ papers, sample papers, etc.