ta":{"metadata":{"difficulty":"easy","intended_exams":["66d0aea597d9dc0c202d55fd"],"source":"itest","extracted_subject":"MATH","extracted_chapter":"INVERSE TRIGONOMETRIC FUNCTIONS","extracted_topic":"INVERSE TRIGONOMETRIC FUNCTIONS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2092.png?top_left_x=1064&top_left_y=1513&width=532&height=222&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e73425d76b7ab3201ef","slug":"if-tansup1sup-x-tansup1sup-y-tansup1sup-z-p-then-m","content":"If tan^–1 x + tan^–1 y + tan^–1 z = p, then ![](https://cdn.pureessence.tech/canvas_12.png?top_left_x=1720&top_left_y=0&width=160&height=300)+ \\(\\frac { 1 } { \\mathrm { yz } }\\) + ![](https://cdn.pureessence.tech/canvas_290.png?top_left_x=1230&top_left_y=928&width=178&height=300)=","options":[{"_id":"691ca8564d06905bd8a4ca5e","text":"0","sequence":0,"isCorrect":false},{"_id":"691ca8564d06905bd8a4ca5f","text":"1","sequence":1,"isCorrect":true},{"_id":"691ca8564d06905bd8a4ca60","text":"1/xyz","sequence":2,"isCorrect":false},{"_id":"691ca8564d06905bd8a4ca61","text":"xyz","sequence":3,"isCorrect":false}],"correct_answer":"1","explanation":"Ž tan^–1 x + tan^–1y = p – tan^–1z\n\nŽ x +y/1–xy = – z\n\nŽ x + y + z = xyz\n\ndivide by xyz, we get 1/xy + 1/yz + 1/zx = 1","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:39.473Z","__v":0,"vector_store_id":"d8d93e21-7869-463c-a471-5d94462c4920","updated_at":"2024-08-30T21:49:39.473Z","isStarred":false},"params":{"questionSlug":"if-tansup1sup-x-tansup1sup-y-tansup1sup-z-p-then-m"}}]}]]

Question: If tan<sup>–1</sup> x + tan<sup>–1</sup> y + tan<sup>–1</sup> z = p, then ![](https://cdn.pureessenc...

Solution