# RD SHARMA Solutions for Class 10 Mathematics Chapter 6: Trigonometric Identities

This chapter deals with the various trigonometric identities and their applications. In this chapter, complementary angles are used on other identities, which are then applied to trigonometric identities. It also deals with the basic identities and their proof. A trigonometric identity can be defined as an equation involving trigonometric ratios related to a specific angle. The following ratios are used to formulate trigonometric identities:

• cosecA=1/sinA
• secA=1/cosA
• cotA=1/tanA      Here, A is the specified angle in a right-angled triangle.

These ratios help in the derivation of trigonometric identities by virtue of the various mathematical operators. These trigonometric identities are further used to derive separate identities, which have been discussed extensively using numerical. Parent trigonometric identities are used to derive the remaining identities. Some of these parent identities are as follows:

• cos²A+sin²A=1
• 1+tan²A=sec²A
• cot²A+1=cosec²A

Chapter 6: Trigonometric Identities, a detailed application of all the parent identities to derive other identities, has been provided. These derivations are essential for students because they play a vital role in understanding the chapters that follow. Besides that, trigonometry helps students practice complex questions and figure out simple routes towards the solution, which drastically enhances their problem-solving abilities. This chapter provides the students with practice questions that involve using parent identities to solve equations and derive other identities. It also involves representing particular trigonometric ratios related to other ratios, such as tanA, cosA and secA in terms of sinA.