SSC Exam > SSC Questions > cos 20° cos 40° cos 60° cos 80&de...
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cos 20° cos 40° cos 60° cos 80° का मान है
- a)3/16
- b)1/16
- c)√3/16
- d)1/2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)&radic...
cos 200 cos 400 cos 600 cos 800
= ½ 2 cos 200 cos 400 cos 60° cos 80°
= ½ (cos 60° + cos 20°) cos 60° cos 80°
= ¼ (cos 60° cos 80° + cos 20° cos 80°)
= ⅛ cos 80° + ⅛. 2 . cos 20° cos 80°
= ⅛ cos 80° + ⅛ (cos 100° + cos 60°)
= ⅛ (cos 80° + cos 100°) + 1/16 = 0 + 1 / 16 = 1 / 16
= ½ 2 cos 200 cos 400 cos 60° cos 80°
= ½ (cos 60° + cos 20°) cos 60° cos 80°
= ¼ (cos 60° cos 80° + cos 20° cos 80°)
= ⅛ cos 80° + ⅛. 2 . cos 20° cos 80°
= ⅛ cos 80° + ⅛ (cos 100° + cos 60°)
= ⅛ (cos 80° + cos 100°) + 1/16 = 0 + 1 / 16 = 1 / 16
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cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)&radic...
Calculation:
Given:
cos 20° cos 40° cos 60° cos 80°
Formula:
cos(a)cos(b) = 1/2[cos(a - b) + cos(a + b)]
Using the above formula:
cos 20° cos 80° = 1/2[cos(80° - 20°) + cos(80° + 20°)] = 1/2[cos 60° + cos 100°]
cos 40° cos 60° = 1/2[cos(60° - 40°) + cos(60° + 40°)] = 1/2[cos 20° + cos 100°]
Substituting the above values:
cos 20° cos 40° cos 60° cos 80° = 1/2[cos 60° + cos 100°] * 1/2[cos 20° + cos 100°]
= 1/4[(1/2)(1/2)(1/2) + (1/2)(1/2)] = 1/16
Therefore, the correct answer is option B. 1/16.
Given:
cos 20° cos 40° cos 60° cos 80°
Formula:
cos(a)cos(b) = 1/2[cos(a - b) + cos(a + b)]
Using the above formula:
cos 20° cos 80° = 1/2[cos(80° - 20°) + cos(80° + 20°)] = 1/2[cos 60° + cos 100°]
cos 40° cos 60° = 1/2[cos(60° - 40°) + cos(60° + 40°)] = 1/2[cos 20° + cos 100°]
Substituting the above values:
cos 20° cos 40° cos 60° cos 80° = 1/2[cos 60° + cos 100°] * 1/2[cos 20° + cos 100°]
= 1/4[(1/2)(1/2)(1/2) + (1/2)(1/2)] = 1/16
Therefore, the correct answer is option B. 1/16.
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cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer?
Question Description
cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer?.
cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for cos 20° cos 40° cos 60° cos 80° a)3/16b)1/16c)√3/16d)1/2Correct answer is option 'B'. Can you explain this answer?.
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