RS Aggarwal Solutions Class 10 Maths Chapter 5 Trigonometric Ratios: RS Aggarwal Solutions Class 10 Maths Chapter 5 is here to help you in your class assignments and tests. Subject matter experts have designed the solutions for your better understanding. The solutions of RS Aggarwal Solutions Class 10 Maths are up to date and very helpful.
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RS Aggarwal Solutions Class 10 Maths Chapter 5 Trigonometric Ratios
RS Aggarwal Solutions Class 10 Maths Chapter 5 Trigonometric Ratios – Overview
Introduction
Chapter 5 of RS Aggarwal Solutions Class 10 Maths will help you with the topics like the right angle of a triangle to the ratios of two side lengths of a triangle. There are other names of Trigonometric Ratios like Trigonometric Functions, Angle Functions, Circular Functions, Goniometric Functions.
There are various applications of Trigonometric Ratios like navigation, celestial mechanics, solid mechanics, and more.
In total there are six Trigonometric Ratios – sine, cosine, and tangent which are used more when compared to the rest of the ratios. The other three ratios are the reciprocal of the first three ratios, i.e., cosecant, secant, and cotangent.
In a right angle triangle named ABC where,
- AB= Hypotenuse
- BC is the opposite side of vertice A
- AC is an adjacent side of vertice A
- Angle ACB is right angle triangle
- Angle BAC is the acute angle
So the six trigonometric ratios are:
- Sine
Sin A = Perpendicular/Hypotenuse
= Opposite Side/Hypotenuse
- Cosine
Cos A = Base/Hypotenuse
= Adjacent side/Hypotenuse
- Tangent
Tan A = Perpendicular/Hypotenuse
= Opposite Side/Hypotenuse
- Cosecant
Cosec A = Hypotenuse/ Perpendicular
=Hypotenuse/ opposite side
- Secant
Sec A = Hypotenuse/ Base
= Hypotenuse/ Adjacent Side
- Cosecant
Cotan A = Base/Hypotenuse
=Adjacent Side/Hypotenuse
Complementary Angles
The pairs of angles with a total sum of 90° are called complementary angles. For example 75° and 15°, 20° and 80°, etc.
- sin (90° – θ) = cos θ
- cos (90° – θ) = sin θ
- tan (90° – θ) = cot θ
- cot (90° – θ) = tan θ
- sec (90° – θ) = cosec θ
- cosec (90° – θ) = sec θ
Access RS Aggarwal Solutions Class 10 Maths Chapter 5 Trigonometric Ratios Other Exercises
RS Aggarwal Solutions Chapter 5 Exercise 5.1
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Give an example of Complementary Angles.
sin (90° – θ) = cos θ
What are the applications of Trigonometric Ratios?
There are various applications of Trigonometric Ratios like navigation, celestial mechanics, solid mechanics, and more.
Name the trigonometric ratios.
In total there are six Trigonometric Ratios – sine, cosine, and tangent which are used more when compared to the rest of the ratios. The other three ratios are the reciprocal of the first three ratios, i.e., cosecant, secant, and cotangent.
Give a brief of RS Aggarwal Solutions Class 10 Maths Chapter 5
Chapter 5 of RS Aggarwal Solutions Class 10 Maths will help you with the topics like the right angle of a triangle to the ratios of two side lengths of a triangle. There are other names of Trigonometric Ratios like Trigonometric Functions, Angle Functions, Circular Functions, Goniometric Functions.