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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

If (\cosec x+\cot x=4), what is the value of (\cot x)?

Answer and explanation

Correct answer: (\frac{15}{8})

(\cosec x-\cot x=\frac{1}{4}). Subtracting gives (2\cot x=4-\frac{1}{4}), so (\cot x=\frac{15}{8}).

Tags

cosecantcotangentidentity

Frequently asked questions

What is the correct answer to this question?

(\frac{15}{8})

Why is this the correct answer?

(\cosec x-\cot x=\frac{1}{4}). Subtracting gives (2\cot x=4-\frac{1}{4}), so (\cot x=\frac{15}{8}).

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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