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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

What is the simplified value of (\frac{1}{1+\cos x}+\frac{1}{1-\cos x})?

Answer and explanation

Correct answer: (2\cosec^2 x)

Combining denominators gives (\frac{2}{1-\cos^2 x}). This is (\frac{2}{\sin^2 x}=2\cosec^2 x).

Tags

rational-expressioncosinecosecant

Frequently asked questions

What is the correct answer to this question?

(2\cosec^2 x)

Why is this the correct answer?

Combining denominators gives (\frac{2}{1-\cos^2 x}). This is (\frac{2}{\sin^2 x}=2\cosec^2 x).

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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