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# Trigonometrical Identities Solutions for ICSE Board Class 10 Mathematics

Last updated date: 10th Aug 2024
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## Trigonometrical Identities Solutions for ICSE Board Class 10 Mathematics (Concise - Selina Publishers)

Concise Mathematics Class 10 ICSE Solutions for Chapter 21 can be of great help while preparing for exams. The solutions are compiled by the subject experts and are extremely helpful for the students to understand Class 10 Chapter 21 Trigonometric Identities efficiently. Students can completely rely on ICSE Mathematics Class 10 Chapter 21 Selina Concise Solutions for a thorough understanding of the chapter as the solutions are prepared as the latest ICSE Class 10 syllabus and guidelines.

In Mathematics, trigonometric identities are considered equalities, which includes trigonometric functions and are valid for each value of the occurring variables where both sides of the equality are defined. Geometrically, trigonometric identities include certain functions of one or more angles.

Learning the trigonometric identities efficiently with the help of ICSE Mathematics Class 10 Chapter 21 Selina Concise Solutions offered by Vedantu will definitely prove helpful for students preparing for board exams. Read below to know more about Concise Mathematics Class 10 ICSE Solutions for Chapter 21 Trigonometric Identities.

When trigonometric functions are used in an expression or equation, trigonometric Identities come in handy. Every value of a variable occurring on both sides of an equation is true for trigonometric identities. These identities are geometrically related to specific trigonometric functions (such as sine, cosine, and tangent) of one or more angles.

The major trigonometry functions are sine, cosine, and tangent, while the other three functions are cotangent, secant, and cosecant. All six trig functions are used to create trigonometric identities.

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## Download ICSE Mathematics Class 10 Chapter 21 Selina Concise Solutions Free PDF

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## FAQs on Trigonometrical Identities Solutions for ICSE Board Class 10 Mathematics

1. How will ICSE Mathematics Class 10 Chapter 21 Selina Concise Solutions PDF will Help me to get Good Grades in Exams?

By referring to ICSE Mathematics Class 10 Chapter 21 Selina Concise Solutions PDF, you can resolve all your chapter doubts and queries instantly. The PDF is prepared by the subject experience teacher and will give you a better idea of how to represent Maths Solution Class 10 ICSE board exams. Optimum use of the PDF along with the proper revision will enhance your self-confidence and ace your Mathematics board exam.

2. Is it Mandatory to Solve ICSE Class 10 Mathematics Selina Concise Questions of all the Chapters?

Solving these questions can yield great benefits. Ideally, try to attempt all the Class 10 Mathematics Selina Concise questions first by your own. If you can't, then refer to ICSE Class 10 Mathematics Selina Concise Chapter-wise solutions offered by Vedantu. Rather than mugging up the Mathematics questions, it is essential to understand the concept and enhance your problem- solving skill. The solutions provided are just for reference.

3. What are trigonometric identities?

Trigonometric Identities are equalities involving trigonometry functions that hold for all values of the variables in the equation.

There are several different trigonometric identities that involve the side length and angle of a triangle. Only the right-angle triangle is subject to the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are the mathematical terms for sine, cosine, tangent, cosecant, secant, and cotangent. The sides of the right triangle, such as the adjacent, opposing, and hypotenuse sides, are used to define all of these trigonometric ratios. You can learn more about trigonometric identities from Trigonometrical Identities Solutions for ICSE Board Class 10 Mathematics.

4. What are the basic guidelines to proving trigonometric identities?

Proving a trigonometric identity entails demonstrating that the identity holds regardless of the value of xx or theta employed.

We cannot just substitute in a few xx numbers to "prove" that they're equal because it has to hold true for all values of xx. It's possible that both sides are equal at numerous points (for example, when solving the equation), leading us to believe we have a true identity.

Instead, we must employ logical procedures to demonstrate that one side of the equation may be changed into the other. We'll sometimes work on each side separately until they meet in the middle.

5. What is the general approach to proving trigonometric identities?

Different trigonometric identities, such as reciprocal trigonometric functions and Pythagorean identities, should be recognisable to you.

There are numerous methods for proving one's identification. If you get stuck, here are some pointers:

1) Focus on the more difficult side of the equation. Try to make it as simple as possible.

2) If possible, replace all trigonometric functions with sin theta and cos theta.

3) Recognize algebraic operations such as factoring, expanding, applying the distributive property, and multiplying and adding fractions. This allows us to further reduce the phrase.

4) Make use of the different trigonometric identities. Keep an eye out for the Pythagorean identity in particular.

5) Collaborate on all sides.

6) Keep an eye on the opposite side of the equation and work toward it.

7) Take into account the "trigonometric conjugate."

6. What are the complementary and supplementary trigonometric identities?

Complementary angles are a pair of two angles whose sum equals 90 degrees. (90 - ) is the complement of an angle. Complementary angle trigonometric ratios are as follows:

• sin (90°- θ) = cos θ

• cos (90°- θ) = sin θ

• cosec (90°- θ) = sec θ

• sec (90°- θ) = cosec θ

• tan (90°- θ) = cot θ

• cot (90°- θ) = tan θ

The supplementary angles are a pair of two angles whose sum equals 180 degrees. An angle's supplement is equal to (180 -). Supplementary angle trigonometric ratios are as follows:

• sin (180°- θ) = sinθ

• cos (180°- θ) = -cos θ

• cosec (180°- θ) = cosec θ

• sec (180°- θ)= -sec θ

• tan (180°- θ) = -tan θ

• cot (180°- θ) = -cot θ

7. How to prepare for trigonometric identities?

To prepare for trigonometric identities, it is imperative for students to learn the fundamentals of trigonometry completely. The foundation needs to be strong for building the knowledge further. Students must make sure that they remember the formulas. Without learning the formulas, students will not be able to solve problems related to trigonometric identities. To consolidate their knowledge further, students should solve sample papers and questions related to trigonometric identities. Students can find free study materials and sample papers on the Vedantu app and website.