What is the value of \(\tan\left(\frac{\pi}{4}+x\right)\tan\left(\frac{\pi}{4}-x\right)\)?
Answer and explanation
Correct answer: (1)
Using the formulas for \(\tan\left(\frac{\pi}{4}+x\right)\) and \(\tan\left(\frac{\pi}{4}-x\right)\), the product is (1). This is a useful standard result.
Frequently asked questions
What is the correct answer to this question?
(1)
Why is this the correct answer?
Using the formulas for \(\tan\left(\frac{\pi}{4}+x\right)\) and \(\tan\left(\frac{\pi}{4}-x\right)\), the product is (1). This is a useful standard result.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.