Commerce Exam > Commerce Notes > Mathematics (Maths) Class 11 > NCERT Solutions: Exercise 3.2 - Trigonometric Functions
NCERT Solutions Class 11 Maths Chapter 3 - Trigonometric Functions
Q1: Find the values of other five trigonometric functions if 
, x lies in third quadrant.
Ans: 
Since x lies in the 3rd quadrant, the value of sin x will be negative.
Q2: Find the values of other five trigonometric functions if 
, x lies in second quadrant.
Ans: 
Since x lies in the 2nd quadrant, the value of cos x will be negative
Q3: Find the values of other five trigonometric functions if 
, x lies in third quadrant.
Ans: 
Since x lies in the 3rd quadrant, the value of sec x will be negative.
Q4: Find the values of other five trigonometric functions if 
, x lies in fourth quadrant.
Ans: 
Since x lies in the 4th quadrant, the value of sin x will be negative.
Q5: Find the values of other five trigonometric functions if 
, x lies in second quadrant.
Ans: 
Since x lies in the 2nd quadrant, the value of sec x will be negative.
∴sec x = 
Q6: Find the value of the trigonometric function sin 765°
Ans: It is known that the values of sin x repeat after an interval of 2π or 360°.
Q7: Find the value of the trigonometric function cosec (–1410°)
Ans: It is known that the values of cosec x repeat after an interval of 2π or 360°.
Q8: Find the value of the trigonometric function 
Ans: It is known that the values of tan x repeat after an interval of π or 180°.
Q9: Find the value of the trigonometric function 
Ans: It is known that the values of sin x repeat after an interval of 2π or 360°.
Q10: Find the value of the trigonometric function 
Ans: It is known that the values of cot x repeat after an interval of π or 180°.
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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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