RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions

RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution- Trigonometric Ratios are designed to help you prepare well for the CBSE Class 10 board exam. These solutions cover all aspects of trigonometric relations based on the relationship between the sides and angles of a triangle. Trigonometry is used to measure the height and length of objects and the greater distance that would be difficult to measure with common instruments. This chapter mentions that the ratio of the acute angles of a right triangle to its sides is known as the trigonometric ratio of the angles.

RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution: There are 11 questions in this exercise. Questions 1 and 2 ask you to evaluate equations based on trigonometric ratios. Question 3 asks you to express the equation based on the trigonometric ratio of the angle in terms of angles between 0 ° and 30 °. Questions 4 and 11 ask you to find the value of an unknown angle in the given equation. Questions 7 through 5 ask you to test the similarity between the given trigger equations. Questions 8 through 10 ask you to determine the degree measure of the angle in the given equation.

Download RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution

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Important Definition for RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions

• Trigonometric Ratios

This chapter teaches you that the Trigonometric Ratios of an acute angle in a right-angle triangle mention the relationship between the angle and the length of its sides. Imagine a triangle ABC right angled at B, the ratios are defined with respect to either of the acute angle ‘A’ or ‘C’. The angle may be called as ‘θ’.

The 6 Trigonometric Ratios with respect to the sides of a chosen angle A are given as –

sin A = side opposite to angle A/ hypotenuse 

cos A = side next to to angle/ hypotenuse

tan A = side opposite to angle A/side adjacent to angle A.

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

Knowing one of the Trigonometric Ratios of an acute angle, we come to know about the remaining Trigonometric Ratios of the angle also. There is no change in values related to Trigonometric Ratios of an angle when we change the measurements of the sides of the triangle, in case the angle remains the same. 

• Trigonometric Ratios of Some Specific Angles 

Here you learn to derive the particular numerical values for Trigonometric Ratios for 0°, 30°, 45°, 60° and 90°. You also come to know that sin A increases from 0 to 1 whereas cos A decreases from 1 to 0 when angling A increases from 0° to 90°. 

• Trigonometric Ratios of Complementary Angles 

In this section of the Chapter, you will learn that we call any two angles of complementary angles when their sum is equal to 90°. In a right-angled triangle the other two angles except for the right angle, have the sum of 90° and hence they are complementary to each other. So in general, sin (90° – A) = cos A, cos (90° – A) = sin A; tan (90° – A) = cot A, cot (90° – A) = tan A; sec (90° – A) = cosec A, cosec (90° – A) = sec A; for all the values of angle A lying between 0° and 90°. 

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