Question
Download Solution PDFनिम्नलिखित संख्याओं पर विचार करें:
I. tan 22.5°
II. cot 22.5°
III. tan 22.5° - cot 22.5°
उपरोक्त में से कितनी अपरिमेय संख्याएँ हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
(I) मान लीजिए tan 22.5° = tan 45/2 = t
⇒ tan45° =
=
⇒ 1 =
⇒ t =
⇒ tan
यह एक अपरिमेय संख्या है।
(II) cot22.5° =
यह भी एक अपरिमेय संख्या है
(III) tan22.5° - cot22.5° = -1+ √2 -(1 +√ 2)
= -2
यह एक अपरिमेय संख्या नहीं है
∴ विकल्प (ग) सही है।
Last updated on Jun 18, 2025
->UPSC has extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.