RD Sharma Solutions for Class 11 Maths Chapter 7: Trigonometric Ratios of Compound Angles

The values of trigonometric functions for the sum or difference of two real numbers (or angles) will be expressed in terms of the values of trigonometric functions (or angles) for individual numbers in this chapter. Compound angles are the subject of this chapter. The algebraic sum of two or more angles is known as a compound angle. Trigonometric identities are used to express compound angles. The fundamental procedures of calculating the sum and difference of two arguments of functions or even the reverse (the expression of two different values of the trigonometric function in the form of sum or difference of one single function ) may be computed using the concept of compound angles.

The topics covered in this chapter are the addition or subtraction values of trigonometric functions, the value of cosine for the difference or the sum of two numbers, the sine value of the disparity between two numbers and the sum of two numbers. The chapter also has formulae to find out the tan values for the same scenarios. Few fundamental theorems are discussed. Furthermore, Trigonometric expressions for the maximum and minimum values are covered along with the procedure to transform the given expressions into the desired form. Finally, this chapter covers eight formulae relating to compound angle trigonometry ratios.

Summation formulae

• sin (A + B) = sin A cos B + cos A sin B
• cos (A + B) = cosA cosB – sinA cosB
• tan (A + B) = (tanA + tanB) / (1 – tanA tanB)
  
  Difference Formulae
• sin (A – B) = sinA cosB – cosA sinB
• cos (A – B) = cosA cosB + sinA cosB
• tan (A – B) = (tan A – tan B) / (1 + tan A tan B)
  
  Product of Summation and Difference formulae
• sin(A + B) sin(A – B) = sin² A – sin² B = cos² B – cos² A.
• cos(A + B) cos(A – B) = cos² A – sin² A – sin² B = cos² B – sin² A.

The outputs of trigonometric functions as the total or difference of two absolute values (or angles) will be represented in terms of individual trigonometric functions in this chapter. The RD Sharma Solutions on this page include answers to the questions in Chapter 7- Values of Trigonometric Functions at Sum or Difference of Angles. Experts have prepared the RD Sharma 11 Maths Solutions to be as clear and easy as possible. The solution's primary objective is to build procedures that help students comprehend ideas more swiftly and promote love for practising. Shortcut approaches are also explained to help students understand quicker and make learning more fun and enjoyable.

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