 NCERT Solutions for class 10 Maths Chapter 8 Exercise 8.3 Introduction to Trigonometry in Hindi and English Medium. Optimize your Class 10 Maths preparation with NCERT Solutions for Chapter 8 Exercise 8.3 on Trigonometry. Available in Hindi and English, it covers trigonometric identities like sin, cos, and tan 90-theta for all boards.

• ## Class 10 Maths Exercise 8.3 Solutions ### NCERT Solutions for class 10 Maths Chapter 8 Exercise 8.3

Class 10 Maths Ex. 8.3 solution PDF file format to free download or view online without downloading for current academic session based on NCERT Books. Use Offline Apps 2023-24 in Hindi Medium and English Medium free for CBSE as well as UP Board students who are following CBSE guidelines and following CBSE Syllabus from 2023-24 for their upcoming exams in March 2021. Download (Exercise 8.3) in PDF format this page.

 Class: 10 Mathematics Chapter 8: Exercise 8.3 Medium: English and Hindi Medium

### 10 Maths Chapter 8 Exercise 8.3 Solutions

#### Questions on Trigonometry for Practice

1. If tan (3x – 15) = 1 then find the value of x. [Answer: 20]
2. Prove that: tan cot A/(1 – cot A) + cot A/(1 – tan A) = 1 + tan A + cot A.
3. Prove that: (sin θ + cosec θ)² + (cos θ + sec θ)² = 7 + tan² θ + cot² θ
4. Prove that: sec A (1 – sin A) (sec A + tan A) = 1.
##### Questions from Board Papers
• 1. If cos B + sin B = √2 cos B, then show that cos B – sin B = √2 sin B.
• 2. If tan A + sin A = m, tan A – sin A = n, then show that m² – n² = 4√(mn).
• 3. If sec A = x = 1/4x, prove that sec A + tan A = 2x or 1/2x.
• 4. If sin α + sin² α = 1, prove that cos² α + (cos² α)² = 1.

### What do we study in exercise 8.3 of class 10 Maths?

Students will study the following main points, which are not only helpful for exercise 8.3 but the other exercises also.
Trigonometric Ratios of Complementary Angles in exercise 8.3 of class 10 mathematics.
Complementary Angles: Two Angles are said to be complementary if their sum equals 90°.

### How can exercise 8.3 of class 10 math be solved easily?

Students can solve complete exercise 8.3 of class 10 math with the help of these formulas:
sin (90° – A) = cos A cot (90° – A) = tan A
sec (90° – A) = cosec A cos (90° – A) = sin A
cosec (90° – A) = sec A tan (90° – A) = cot A
If students remember above mentioned formulas on tips then they can easily solve all questions and examples of exercise 8.3.

### Which is the best example of exercise 8.3 class 10th Maths for Exams?

There are 3 examples (example 9, 10 and 11) in exercise 8.3 of class 10 math and all the examples have equal chance to come in exams. They can come in 2 marks. All these examples are of different type. Example 9 is quite easy to understand and solve than Examples 7 and 8.

### Which questions of exercise 8.3 class 10th Maths are Important for Boards?

There are 7 questions in exercise 8.3 class 10th mathematics out of which 6 questions (question 2, 3, 4, 5, 6 and 7) are important from exam point of view. Every year in exam question come from these questions. Question 3 and 5 are of same type.     Last Edited: November 1, 2023