Question 1.
Find the principal values of the following :
![Chapter 3 Trigonometric Functions Ex 3.3 2 word image 19011 2](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-2.png)
![Chapter 3 Trigonometric Functions Ex 3.3 3 word image 19011 3](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-3.png)
![Chapter 3 Trigonometric Functions Ex 3.3 4 word image 19011 4](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-4.png)
![Chapter 3 Trigonometric Functions Ex 3.3 5 word image 19011 5](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-5.png)
Question 2.
Evaluate the following :
Solution:
Solution:
(iii) tan-1√3 – sec-1(-2)
Solution:
(iv) cosec-1(−√2) + cot-1(√3)
Solution:
Question 3.
Prove the following :
Solution:
![Chapter 3 Trigonometric Functions Ex 3.3 17 word image 19011 19](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-19.png)
![Chapter 3 Trigonometric Functions Ex 3.3 18 Maharashtra Board 12th Maths Solutions Chapter 3 Trigonometric Functions Ex 3.3 10](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/maharashtra-board-12th-maths-solutions-chapter-3-t-107.png)
![Chapter 3 Trigonometric Functions Ex 3.3 19 word image 19011 21](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-21.jpeg)
![Chapter 3 Trigonometric Functions Ex 3.3 20 Maharashtra Board 12th Maths Solutions Chapter 3 Trigonometric Functions Ex 3.3 12](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/maharashtra-board-12th-maths-solutions-chapter-3-t-108.png)
Solution:
![Chapter 3 Trigonometric Functions Ex 3.3 23 word image 19011 26](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-26.png)
![Chapter 3 Trigonometric Functions Ex 3.3 24 word image 19011 27](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-27.jpeg)
![Chapter 3 Trigonometric Functions Ex 3.3 25 word image 19011 28](https://mhboardsolutions.xyz/wp-content/uploads/2022/02/word-image-19011-28.png)
Solution:
Solution:
Solution:
= θ/2 …[∵ tan-1(tanθ) = θ]
= RHS.