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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesEasyLevel 72

What is the range of (\sec x)?

Answer and explanation

Correct answer: ((-\infty,-1]\cup[1,\infty))

(\sec x=\frac{1}{\cos x}) and (\cos x) lies in ([-1,1]). Hence (\sec x) is greater than or equal to (1) or less than or equal to (-1).

Tags

rangesecantreciprocal

Frequently asked questions

What is the correct answer to this question?

((-\infty,-1]\cup[1,\infty))

Why is this the correct answer?

(\sec x=\frac{1}{\cos x}) and (\cos x) lies in ([-1,1]). Hence (\sec x) is greater than or equal to (1) or less than or equal to (-1).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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