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NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.4

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NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry (Ex 8.4) Exercise 8.4
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NCERT Solutions for Class 10 Maths ex 8.4 designed by the subject matter experts at Vedantu provide a detailed explanation of every sum covered in the exercise. Our experts have prepared the solutions to each question in Class 10 Chapter 8 Exercise 8.4 in an easy step-by-step manner. By going through these Maths NCERT Solutions Class 10 Ex 8.4, you should be able to solve and analyze sums from trigonometric identities. There are a total of 5 questions in Maths Class 10 Chapter 8 Exercise 8.4 with many subparts, need long-winded derivations which are explained clearly by breaking down each problem in multiple steps. All the NCERT Book Solutions are prepared by experienced and highly qualified teaching staff. You can also find NCERT Solutions for Class 10 Science on Vedantu.

Chapter 8 - Introduction to Trigonometry part-1
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FAQ (Frequently Asked Questions)

Q1. How Would you Define Trigonometric Identities?

Ans: If an equation is true for all values of the variables involved in the equation, it is called an identity equation. Trigonometric identities are equations that involve trigonometric ratios of an angle which is true for all values of the angle or angles involved in the equation.

Q2. In a Right Angle Triangle ABC Where Angle B is 90 Degrees, how will you Prove that for any of the Acute Angles, say θ in that Triangle: Sin2θ + Cos2θ = 1.

Ans: If B is 90 degrees then the side AC is the hypotenuse of the right-angle triangle. So as per Pythagoras theorem:

AC2 = AB2 + BC2

If we divide each term in the above equation by AC2 we get:

AC2/AC2 = AB2/AC2 + BC2/AC2

I.e (AC/AC)2 = (AB/AC)2 + (BC/AC)2

So, 1 = Cos2θ + Sin2θ, where θ is the angle opposite to side BC.