NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.2: The NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.2 focus on applying trigonometric ratios to solve problems related to right-angled triangles. This exercise requires students to find the values of sine, cosine, tangent, and other trigonometric functions for given angles.
By practicing these problems, students will strengthen their understanding of how trigonometric ratios are used in various practical scenarios. These solutions provide clear explanations and step-by-step methods to help students grasp the concepts effectively and build confidence in solving trigonometric problems.NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.2 PDF
Solve the followings Questions.
1. Evaluate the following : (i) sin 60° cos 30° + sin 30° cos 60° (ii) 2 tan 2 45° + cos 2 30° – sin 2 60° (iii) cos 45°/(sec 30° + cosec 30°) (iv) (sin 30° + tan 45° – cosec 60°)/(sec 30° + cos 60° + cot 45°) (v) (5cos 2 60° + 4sec 2 30° - tan 2 45°)/(sin 2 30° + cos 2 30°)Answer:
(i) sin 60° cos 30° + sin 30° cos 60°Answer:
(i) 2tan 30°/1+tan 2 30° = (A) sin 60° (B) cos 60° (C) tan 60° (D) sin 30° =Answer:
Answer:
(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2 (ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin 90° = 1 Thus the value of sin θ increases as θ increases. (iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases. (iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.