Inverse Trigonometric Functions
RS Aggarwal
CBSE
Grade 12
Question:
Simplify $\tan^{-1}\left(\dfrac{\cos x - \sin x}{\cos x + \sin x}\right), -\dfrac{\pi}{4} < x < \dfrac{3\pi}{4}$.
Step-by-Step Solution
Key Concept: Divide by cos x: tan^{-1}(tan(\pi/4 - x)) = \pi/4 - x.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer:
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.