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If (\theta) is in the fourth quadrant, what are the signs of (\sec \theta) and (\cosec \theta)?

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Answer and explanation

Correct answer: (\sec \theta) positive and (\cosec \theta) negative

In the fourth quadrant, (\cos \theta) is positive and (\sin \theta) is negative, so their reciprocals have the same signs. In exams decide the signs of basic functions first.

Tags

trigonometric-functionsquadrantreciprocal-signs

Frequently asked questions

What is the correct answer to this question?

(\sec \theta) positive and (\cosec \theta) negative

Why is this the correct answer?

In the fourth quadrant, (\cos \theta) is positive and (\sin \theta) is negative, so their reciprocals have the same signs. In exams decide the signs of basic functions first.

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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