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If √(9-8 sin〖〖50〗^0 〗 )=a+b sin〖c^0 〗 for exactly one set of positive integers (a,b,c), find abc

If √(9-8 sin〖〖50〗^0 〗 )=a+b sin〖c^0 〗 for exactly one set of positive integers (a,b,c), where 0 less than c less than 90, then find the value of abc . Indian Olympiad Qualifier in Mathematics (IOQM) Sample Problems and Solutions. Link for IOQM Practice Problems – SET 1A (pdf) : https://smallpdf.com/file#s=2092287c-244c-4507-92db-df4f36451cb0 Link for IOQM Practice Problems – SET 1B (pdf) : https://smallpdf.com/file#s=d13d7566-202c-4103-aa66-0e2c54975ea2 Link for IOQM Practice Problems – SET 1C (pdf) : https://smallpdf.com/file#s=ba529e7b-d72b-4fc7-9158-293aeb15b9cb Link for IOQM Practice Problems – SET 1D (pdf) : https://smallpdf.com/file#s=58f8040a-3c67-4011-ac52-1b2945ac3d85 Link for IOQM Practice Problems – SET 1E (pdf) : https://smallpdf.com/file#s=a8c7bad1-7615-4549-a328-a221b08a0b2c Link for IOQM Practice Problems – SET 1F (pdf) : https://smallpdf.com/file#s=94de2749-5307-4ce6-b634-70643459c838 Link for IOQM Practice Problems – SET 1G (pdf) : https://smallpdf.com/file#s=621da9c2-d352-4691-8f09-328d8ad988c7 Link for IOQM Practice Problems – SET 1H (pdf) : https://smallpdf.com/file#s=e6807687-442b-468e-8f04-e7a9378b05db Link for IOQM Practice Problems – SET 1I (pdf) : https://smallpdf.com/file#s=b23fbe72-927c-402a-a97b-c3b1b4bcb62b Link for IOQM Practice Problems – SET 1J (pdf) : https://smallpdf.com/file#s=51bda2af-6bcd-4355-bab9-f8a8d99135c7 Link for IOQM Practice Problems – SET 1K (pdf) : https://smallpdf.com/file#s=482eab7c-130c-4066-ac17-2d468144c7cc Link for IOQM Practice Problems – SET 1L (pdf) : https://smallpdf.com/file#s=d0bdabb5-d2f4-4d36-b773-8996336e7c6b Link for IOQM Practice Problems – SET 1M (pdf) : https://smallpdf.com/file#s=a5dd6f51-6f93-4b53-8616-64585c1d8a80 Link for IOQM Practice Problems – SET 1N (pdf) : https://smallpdf.com/file#s=2e45b8d3-0e76-43e9-9ba8-b6a552528dc5 Link for IOQM Practice Problems – SET 1O (pdf) : https://smallpdf.com/file#s=31688943-7927-465b-850e-d48b9a709286 Link for IOQM Practice Problems – SET 1P (pdf) : https://smallpdf.com/file#s=dc16d6c9-58af-402b-b927-fd0dc4b7148b Link for IOQM Practice Problems – SET 1Q (pdf) : https://smallpdf.com/file#s=71365b44-340e-4753-8fc0-c95aacdc5f68 Enjoy / Practice more than 1200 Q/A with 28 Playlists for Prestigious Olympiads and College Admission tests by clicking on the Link below :: https://www.youtube.com/channel/UCk3C_hdGm7TJCzlwYSk8_Sw ~~~~SUBSCRIBE FOR MORE PROBLEMS AND SOLUTIONS~~~~ ART OF MATHEMATICS PROBLEM SOLVING (AOMPS) My YouTube Channel is to assist students in practicing all types of Olympiad Problems from Preliminary IQ level to Advanced IQ Level. "Education is not the learning of facts, but training the mind to think" .. Albert Einstein. Practice selective non-routine Mathematics to enhance thinking ability from this YouTube Channel. Get success in Higher Level Prestigious Competitive/ College Entrance Examinations. Like, Subscribe and Share to all Mathematics Lovers' of Grade 7, 8, 9, 10, 11, 12 and their parents . Your valuable opinions/suggestions/Solutions/Questions for improvisation are always welcomed. SELF STUDY IS THE BEST STUDY. SELF-STUDY, IN A SENSE OF LEARNING BY YOURSELF WITHOUT ANYBODY TEACHING YOU ANYTHING, HAS AN ENORMOUS VALUE. Combined Practice for NMTC, SASMO, NTSE, SEAMO, NSEJS, AMC, PRMO, HKIMO, MKC, JEE (Main & Adv), TIMO, BEST, PIMSO Math, CAT, SAT, MAA AMC, ISI/CMI Admission Test, AIMO, DOKA, WMI, Singa Math, AIME, RMO, CMO, SMO, INMO, IMO etc. IQ Science and Logical Reasoning will be posted only after achieving 10000 SUBSCRIBERS. Problems of my channel has been taken from :: NTSE - India SASMO - Singapore NMTC - India SEAMO - Singapore NSEJS - India Australian Mathematics Competition - AMC - Australia PRMO - India MAA AMC - America Indian Statistical Institute Admission Test - India Hong Kong International Mathematical Olympiad - HKIMO - Hong Kong Thailand International Mathematical Olympiad - TIMO - Thailand Chennai Mathematical Institute Admission Test - India Philippine International Math and Science Olympics - PIMSO - Philippine JEE Main - India Asia International Mathematical Olympiad - AIMO Depth of Knowledge Assessment - DOKA - Singapore JEE Advanced - India World Mathematics Invitational - WMI SIMOC - Singapore Singapore Math Competition - Singa Math - Singapore Regional Mathematical Olympiad - RMO - India SMO - Singapore AIME - America CMO - Canada INMO - India International Mathematical Olympiad - IMO Objectives of my channel :: i) To train the mind of students for enhancing thinking ability. ii) To help the students who can't afford expensive coaching. iii) Try to render Art of Mathematics Problem Solving more interesting and powerful to all. iv) Try to make the learner an expert from a beginner. v) To render non-routine mathematics problems for the future research works. God bless you Stay safe and well.

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If √(9-8 sin〖〖50〗^0 〗 )=a+b sin〖c^0 〗 for exactly one set of positive integers (a,b,c), where 0 less than c less than 90, then find the value of abc . Indian Olympiad Qualifier in Mathematics (IOQM) Sample Problems and Solutions. Link for IOQM Practice Problems – SET 1A (pdf) : https://smallpdf.com/file#s=2092287c-244c-4507-92db-df4f36451cb0 Link for IOQM Practice Problems – SET 1B (pdf) : https://smallpdf.com/file#s=d13d7566-202c-4103-aa66-0e2c54975ea2 Link for IOQM Practice Problems – SET 1C (pdf) : https://smallpdf.com/file#s=ba529e7b-d72b-4fc7-9158-293aeb15b9cb Link for IOQM Practice Problems – SET 1D (pdf) : https://smallpdf.com/file#s=58f8040a-3c67-4011-ac52-1b2945ac3d85 Link for IOQM Practice Problems – SET 1E (pdf) : https://smallpdf.com/file#s=a8c7bad1-7615-4549-a328-a221b08a0b2c Link for IOQM Practice Problems – SET 1F (pdf) : https://smallpdf.com/file#s=94de2749-5307-4ce6-b634-70643459c838 Link for IOQM Practice Problems – SET 1G (pdf) : https://smallpdf.com/file#s=621da9c2-d352-4691-8f09-328d8ad988c7 Link for IOQM Practice Problems – SET 1H (pdf) : https://smallpdf.com/file#s=e6807687-442b-468e-8f04-e7a9378b05db Link for IOQM Practice Problems – SET 1I (pdf) : https://smallpdf.com/file#s=b23fbe72-927c-402a-a97b-c3b1b4bcb62b Link for IOQM Practice Problems – SET 1J (pdf) : https://smallpdf.com/file#s=51bda2af-6bcd-4355-bab9-f8a8d99135c7 Link for IOQM Practice Problems – SET 1K (pdf) : https://smallpdf.com/file#s=482eab7c-130c-4066-ac17-2d468144c7cc Link for IOQM Practice Problems – SET 1L (pdf) : https://smallpdf.com/file#s=d0bdabb5-d2f4-4d36-b773-8996336e7c6b Link for IOQM Practice Problems – SET 1M (pdf) : https://smallpdf.com/file#s=a5dd6f51-6f93-4b53-8616-64585c1d8a80 Link for IOQM Practice Problems – SET 1N (pdf) : https://smallpdf.com/file#s=2e45b8d3-0e76-43e9-9ba8-b6a552528dc5 Link for IOQM Practice Problems – SET 1O (pdf) : https://smallpdf.com/file#s=31688943-7927-465b-850e-d48b9a709286 Link for IOQM Practice Problems – SET 1P (pdf) : https://smallpdf.com/file#s=dc16d6c9-58af-402b-b927-fd0dc4b7148b Link for IOQM Practice Problems – SET 1Q (pdf) : https://smallpdf.com/file#s=71365b44-340e-4753-8fc0-c95aacdc5f68 Enjoy / Practice more than 1200 Q/A with 28 Playlists for Prestigious Olympiads and College Admission tests by clicking on the Link below :: https://www.youtube.com/channel/UCk3C_hdGm7TJCzlwYSk8_Sw ~~~~SUBSCRIBE FOR MORE PROBLEMS AND SOLUTIONS~~~~ ART OF MATHEMATICS PROBLEM SOLVING (AOMPS) My YouTube Channel is to assist students in practicing all types of Olympiad Problems from Preliminary IQ level to Advanced IQ Level. "Education is not the learning of facts, but training the mind to think" .. Albert Einstein. Practice selective non-routine Mathematics to enhance thinking ability from this YouTube Channel. Get success in Higher Level Prestigious Competitive/ College Entrance Examinations. Like, Subscribe and Share to all Mathematics Lovers' of Grade 7, 8, 9, 10, 11, 12 and their parents . Your valuable opinions/suggestions/Solutions/Questions for improvisation are always welcomed. SELF STUDY IS THE BEST STUDY. SELF-STUDY, IN A SENSE OF LEARNING BY YOURSELF WITHOUT ANYBODY TEACHING YOU ANYTHING, HAS AN ENORMOUS VALUE. Combined Practice for NMTC, SASMO, NTSE, SEAMO, NSEJS, AMC, PRMO, HKIMO, MKC, JEE (Main & Adv), TIMO, BEST, PIMSO Math, CAT, SAT, MAA AMC, ISI/CMI Admission Test, AIMO, DOKA, WMI, Singa Math, AIME, RMO, CMO, SMO, INMO, IMO etc. IQ Science and Logical Reasoning will be posted only after achieving 10000 SUBSCRIBERS. Problems of my channel has been taken from :: NTSE - India SASMO - Singapore NMTC - India SEAMO - Singapore NSEJS - India Australian Mathematics Competition - AMC - Australia PRMO - India MAA AMC - America Indian Statistical Institute Admission Test - India Hong Kong International Mathematical Olympiad - HKIMO - Hong Kong Thailand International Mathematical Olympiad - TIMO - Thailand Chennai Mathematical Institute Admission Test - India Philippine International Math and Science Olympics - PIMSO - Philippine JEE Main - India Asia International Mathematical Olympiad - AIMO Depth of Knowledge Assessment - DOKA - Singapore JEE Advanced - India World Mathematics Invitational - WMI SIMOC - Singapore Singapore Math Competition - Singa Math - Singapore Regional Mathematical Olympiad - RMO - India SMO - Singapore AIME - America CMO - Canada INMO - India International Mathematical Olympiad - IMO Objectives of my channel :: i) To train the mind of students for enhancing thinking ability. ii) To help the students who can't afford expensive coaching. iii) Try to render Art of Mathematics Problem Solving more interesting and powerful to all. iv) Try to make the learner an expert from a beginner. v) To render non-routine mathematics problems for the future research works. God bless you Stay safe and well.

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