What can you say about cosec 0 ° = 1 sin 0 ° ? Is it defined ? Why?

We know that sin 0 ° = 0 So, cosec 0 ° = 1 sin 0 ° = 1 0 As we know dividing a number by 0 is not defined So, cosec 0 ° = 1 sin 0 ° = 1 0 = undefined Division should be an operation inverse to multiplications, that is, x y = z if and only if x = z y Let 1 0 = p is a rational number So, 0 × P = 1 but the multiplication of any number by zero is 0 . i.e. 0 × P = 0 Since, both the expression are contradictory. Hence, 1 0 is not defined. Thus, cosec 0 ° = 1 sin 0 ° is not defined.

What can you say about cot 0 ° = 1 tan 0 ° ? Is it defined ? Why?

We know that tan 0 ° = 0 So, cot 0 ° = 1 tan 0 ° = 1 0 As we know dividing a number by 0 is not defined So, cot 0 ° = 1 tan 0 ° = 1 0 = undefined Division should be an operation inverse to multiplications, that is, x y = z if and only if x = z y Let 1 0 = p is a rational number So, 0 × P = 1 but the multiplication of any number by zero is 0 . i.e. 0 × P = 0 Since, both the expressions are contradictory. Hence, 1 0 is not defined. Thus, cot 0 ° = 1 tan 0 ° is not defined.

We know that cos 0 ° = 1 As the reciprocal of cosine function is secant function So, sec 0 ° = 1 cos 0 ° = 1 1 Thus, sec 0 ° = 1

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Mathematics Class 10>Chapter 11 - Trigonometry>Think and Discuss

Telangana Board Solutions for Chapter: Trigonometry, Exercise 4: Think and Discuss

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Trigonometry, Exercise 4: Think and Discuss

Attempt the practice questions on Chapter 11: Trigonometry, Exercise 4: Think and Discuss with hints and solutions to strengthen your understanding. Mathematics Class 10 solutions are prepared by Experienced Embibe Experts.