RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions

RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions: “Trigonometric Identities” is one of the best complementary study resources for a complete chapter review. Once you go through your NCERT Mathematics textbook or your other course books and practice all the questions, you should refer to the RS Aggarwal book for different types of practice questions.

There are 37 questions in practice based on trigonometric identities. Most of them are evidence-based questions where you have to prove that the LHS is equivalent to the RHS using different trigonometric identities. To solve these questions, you must have a complete understanding of trigonometric identities.

Download RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions

RS-Aggarwal-Class-10-Solutions-Chapter-8-Exercise-8A

Important Definition for RS Aggarwal Chapter 8 Class 10 Maths Ex 8a Solutions

RS Aggarwal Solutions for Chapter 8 lets you know that:

• sin A = side opposite to angle A /Hypotenuse
• cos A = side adjacent to angle A/hypotenuse
• tan A = side opposite to angle A/ side adjacent to angle A

In RS Aggarwal Solutions for Chapter – ‘Trigonometric Identities’, you will get to understand that if one of the trigonometric ratios of an acute angle is given to you, then you can easily determine the remaining trigonometric ratios.

• cosec A = 1/sin A ; sec A = 1/cos A ; tan A = 1/cot A, tan A = sin A /cos A

What exactly are Trigonometric Identities?

Trigonometric Identities are equations that are true for any value of the variable in the domain and relate to various trigonometric functions. A mathematical expression that holds for all values of the variable(s) it contains is called an identity.

For instance, here are some algebraic identities:

(m + n)2 = m2 + 2mn + n2

(m – n)2 = m2 – 2mn + n2

(m + n)(m – n)= m2 – n2

The variables are only addressed in the algebraic identities, whereas the six trigonometric functions sine, cosine, tangent, cosecant, secant, and cotangent are addressed in the trig identities. Let’s take a closer look at each type of trigonometric identity.

Reciprocal Trigonometric Identities

We already know that cosecant, secant, and cotangent are the reciprocals of sin, cosine, and tangent, respectively.

As a result, the reciprocal identities are as follows:

• sin θ = 1/cosecθ (OR) cosec θ = 1/sinθ

• cos θ = 1/secθ (OR) sec θ = 1/cosθ

• tan θ = 1/cotθ (OR) cot θ = 1/tanθ

Important Trigonometric Identities Notes

• We use the pairs (sin, cos), (cosec, sec), and (tan, cot) to write the trigonometric ratios of complementary angles.

• The trigonometric ratio will not change while writing the trigonometric ratios of supplementary angles. The fact that only sin and cosec are positive in the second quadrant where the angle is of the form (180-θ) can be used to determine the sign.

• The cos 2x formula has three different formulas. Only the first one is worth remembering because the other two can be found using the Pythagorean identity sin2x + cos2x = 1.

• Applying the identity tan = sin/cos and then using the half-angle formulas of sin and cos yields the tan half-angle formula.

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