## Download Important RD Sharma Solutions for Class 11 Chapter 9 - Trigonometric Ratios of Multiple and Submultiple Angles Exercise 9.3 Free PDF

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Answers to all questions, numbers and problems included in the RD Sharma Class 11 Chapter 9 Trigonometric Multiple and Submultiple Angles Maths Textbook.

A detailed diagram to answer all problems (in more than one way if possible).

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**5. What are compound and submultiple angles?**

**Compound Angles - **Angles made up of a total algebraic sum or difference of two or more angles are called compound angles. Trigonometric ratios of compound angles include an examination of the trigonometric value of the trigonometric difference of two or more angles. Some of the trigonometric identities regarding compound angles are listed below:

Sin (A + B) = sinA cosB + cosA sinB

Sin (A - B) = sinA cosB - cos A sin B

Cos (A + B) = cosA cosB - sinA sinB

**Submultiple Angles - **As the name suggests, the trigonometric ratio of a submultiple of an angle means when we try to determine the trigonometric value of an A / 2 or A / 3 angle.

**Other Trigonometric Features of the Submultiple Angle are:**

| Sin A / 2 + cos A / 2 | = √ (1 + sin A)

| Sin A / 2 - cos A / 2 | = √ (1 - sin A)

tan A / 2 = ± √ (1 - cos A) / (1 + cos A)