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NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q1: Find the values of other five trigonometric functions if  NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions , x lies in third quadrant.
Ans: NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Since x lies in the 3rd quadrant, the value of sin x will be negative.
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q2: Find the values of other five trigonometric functions if  NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions , x lies in second quadrant. 
Ans: NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Since x lies in the 2nd quadrant, the value of cos x will be negative
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q3: Find the values of other five trigonometric functions if  NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions , x lies in third quadrant.
Ans: NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Since lies in the 3rd quadrant, the value of sec x will be negative.
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q4: Find the values of other five trigonometric functions if  NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions , x lies in fourth quadrant.
Ans: NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Since x lies in the 4th quadrant, the value of sin x will be negative.
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q5: Find the values of other five trigonometric functions if  NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions , x lies in second quadrant.
Ans: NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Since x lies in the 2nd quadrant, the value of sec x will be negative.

∴sec x = NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q6: Find the value of the trigonometric function sin 765°
Ans: It is known that the values of sin repeat after an interval of 2π or 360°.

NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q7: Find the value of the trigonometric function cosec (–1410°)
Ans: It is known that the values of cosec repeat after an interval of 2π or 360°.

NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q8: Find the value of the trigonometric function  NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Ans: It is known that the values of tan repeat after an interval of π or 180°.

NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q9: Find the value of the trigonometric function NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Ans: It is known that the values of sin repeat after an interval of 2π or 360°.

NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

Q10: Find the value of the trigonometric function NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Ans: It is known that the values of cot repeat after an interval of π or 180°.

NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

The document NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions is a part of the JEE Course Mathematics (Maths) for JEE Main & Advanced.
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FAQs on NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions

1. What are the basic trigonometric functions?
Ans. The basic trigonometric functions are sine, cosine, and tangent, denoted as sin, cos, and tan respectively. These functions relate the angles of a triangle to the lengths of its sides.
2. How can trigonometric functions be used to solve right-angled triangles?
Ans. Trigonometric functions can be used to find unknown side lengths or angles in a right-angled triangle by using the ratios of the sides (opposite, adjacent, and hypotenuse) with respect to a given angle.
3. What is the unit circle and how is it related to trigonometric functions?
Ans. The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane. Trigonometric functions can be defined using the coordinates of points on the unit circle, making it a useful tool in understanding trigonometry.
4. How are trigonometric functions used in real-life applications?
Ans. Trigonometric functions are used in various fields such as engineering, physics, and astronomy to model periodic phenomena like sound waves, motion of objects, and planetary orbits.
5. How can one determine the values of trigonometric functions for different angles?
Ans. Trigonometric functions can be calculated using a calculator or trigonometric tables, or by using trigonometric identities and properties to simplify the expressions for specific angles.
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