Beginner to Expert in trigonometry part-1

Name: Beginner to Expert in trigonometry part-1
Rating: 4.5 (23 reviews)

Learn to solve competition level questions. Also learn tricks and tactics used in trigonometry to solve questions.

Last updated 3/2020

English

What you'll learn

4 sections • 11 lectures • 1h 45m total length

Introduction1:35
Beginner to expert in trigonometry part-1 reveals why trigonometry matters across maths and science, with practical height and angle problems and guided on-screen practice.
Elements of triangle and importance of right angled triangle in trigonometry6:08
Explore the elements of a triangle, three sides and three angles, and the triangle types (acute, obtuse, right), highlighting why the right triangle is central to trigonometry and Pythagoras.
Quiz based on triangle properties

radian and degree system and relating arc length and radius of circular arc.17:27
Master the degree and radian systems, relate arc length to radius, and convert between degrees and radians, including degree-minute-second representations, with practical practice problems.
Arc length related Examples5:54
Solve arc length problems by using radius and diameter, converting between degrees and radians to find the arc length. Apply the central angle formula to relate arc length to radius.
Quiz based on radian and degree
Watch problems5:06
Compute watch angles by applying hand speeds on a 360-degree dial: hour hand 0.5 degrees per minute and minute hand 6 degrees per minute, adjusting for movement over time.
Watch Related Examples

Trignometric ratios concept5:42
Develop mastery of trig ratios for right triangles, from Pythagoras to sine, cosine, and tangent, using opposite, adjacent, and hypotenuse. Understand reciprocal relationships and problems to solve angles and sides.
Exapmles of trigonometric ratios11:21
Explore trigonometric ratios through right triangle problems, using sine and cosine with hypotenuse, opposite, and adjacent sides, and apply Pythagoras to find missing values.
Trigonometric ratios Quiz
Trigonometric ratios of special Angles12:37
Develop understanding of trigonometric ratios for special angles 30, 45, 60, and 90 using right triangles, hypotenuse relationships, and a prepared values table for sine, cosine, tangent, and secant.
Examples of special angles of trigonometric Angles1:53
Explore examples of special angles in trigonometry and compute sine and cosine values, using basic angle cases to illustrate key trigonometric relationships.
Special Angles Quiz

Deriving three basic identities by pythagoras theorem2:33
Derive the three basic trigonometric identities using the Pythagorean theorem, bridging beginner to expert understanding in trigonometry.
Examples of three basic identities35:16
This lecture demonstrates solving and proving three basic trigonometric identities by converting expressions to sine and cosine, applying pythagorean and quotient identities, and simplifying with algebra.
Basic identities quiz

Although the course starts from basic but you should have some basic understanding of algebraic identities

You will learn following

Importance of right angled triangle
Angles and their relations
Quadrants and angles in various quadrants
Introduction of various trigonometric ratios
Finding values of trigonometric ratios with basic angles
Finding values of trigonometric ratios of angles in other quadrants
proving three basic identities
Questions solving tricks of three basic identities
This will help you in solving calculus problems. This will help you to apply basic identities in trigonometry.