How to Study Trigonometric Equations in Easy Way

August 29, 2022 Post a Comment

Trigonometry is a branch of Mathematics that deals with the study of triangles. It is all about the relation between the sides and angles of the triangles. As far as the JEE exam is concerned, trigonometry is an important topic. In this article, we will discuss the easiest way to learn trigonometry.

7 Easy Steps to Learn Trigonometry

Step 1. Study all the basics of trigonometric angles.

Step 2. Study right-angle triangle concepts.

It is a triangle with one angle of 90 degrees. The longest side is the hypotenuse. The other two sides are the adjacent side and the opposite side. The following are the three basic functions in trigonometry.

sine = (opposite side) / hypotenuse

cosine = (adjacent side) / hypotenuse

tangent = (opposite side) / (adjacent side)

Step 3. Pythagoras theorem.

Hypotenuse² = Base² + Altitude²

Step 4. Sine rule and Cosine rule.

Sine rule: a/ sin A = b/ sin B = c/ sin C

Cosine rule: c² = a² + b² – 2ab cos C

Step 5. List all the important identities of trigonometry.

Fundamental identities:

sin²θ + cos²θ = 1

1 + tan²θ = sec²θ

1 + cot²θ = cosec² θ

Reciprocal formulas:

1/sin x = cosec x

1/cos x = sec x

1/tan x = cot x

Step 6. Remember the trigonometry table.

Learn Trigonometric Ratios

The table contains the values of trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) of standard angles.

The following table gives trigonometric ratios for 180°, 270°, and 360°.

Angle in degrees	180⁰	270⁰	360⁰
Angle in radians	π	3π/2	2π
sin	0	-1	0
cos	-1	0	1
tan	0	Not defined	1
cosec	Not defined	0	Not defined
sec	-1	Not defined	1
cot	Not defined	-1	Not defined

Step 7. Be thorough with the trigonometric formulas. Even if you forget the table, you can easily calculate the values using the formulas.

sin x = cos (90°-x)

cos x = sin (90°-x)

tan x = cot (90°-x)

cot x = tan (90°-x)

sec x = cosec (90°-x)

cosec x = sec (90°-x)

Trigonometry becomes easy only when the students are thorough with all the rules and formulas. So, students are recommended to learn all those and practise previous year question papers. This will help them to improve their problem-solving speed and increase their confidence.