If (\cot x=\frac{3}{2}), what is the value of (\frac{\cot^2 x-1}{\cot^2 x+1})?
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Answer and explanation
Correct answer: (\frac{5}{13})
Substitute (\cot^2 x=\frac{9}{4}) and simplify. The value is (\frac{\frac{9}{4}-1}{\frac{9}{4}+1}=\frac{5}{13}).
Frequently asked questions
What is the correct answer to this question?
(\frac{5}{13})
Why is this the correct answer?
Substitute (\cot^2 x=\frac{9}{4}) and simplify. The value is (\frac{\frac{9}{4}-1}{\frac{9}{4}+1}=\frac{5}{13}).
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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