What is the value of \(cosec^2\theta-\cot^2\theta\) = ?
Answer and explanation
Correct answer: 1
Using the trigonometric identity \(cosec^2\theta=1+\cot^2\theta\), we obtain \(cosec^2\theta-\cot^2\theta=(1+\cot^2\theta)-\cot^2\theta=1\). Hence, option A is correct. Option B is incorrect because the constant term 1 remains after the \(\cot^2\theta\) terms cancel. For exams, remember the direct identity \(cosec^2\theta-\cot^2\theta=1\).
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
Using the trigonometric identity \(cosec^2\theta=1+\cot^2\theta\), we obtain \(cosec^2\theta-\cot^2\theta=(1+\cot^2\theta)-\cot^2\theta=1\). Hence, option A is correct. Option B is incorrect because the constant term 1 remains after the \(\cot^2\theta\) terms cancel. For exams, remember the direct identity \(cosec^2\theta-\cot^2\theta=1\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
