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The value of (tanl° tan2° tan3°... tan89°) is
- a)0
- b)1
- c)2
- d)1/2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2...
tan 1 . tan 2 . tan 3 ... tan 87 . tan 88 . tan 89 = LHS
tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
tan 1 . tan 2 . tan 3 ... cot 3 . cot 2 . cot 1
tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
tan 1 . tan 2 . tan 3 ... cot 3 . cot 2 . cot 1
tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 89 . cot 89
1 x 1 x 1 x 1 x ... x 1
As 1ⁿ = 1 = RHS
1 x 1 x 1 x 1 x ... x 1
As 1ⁿ = 1 = RHS
Most Upvoted Answer
The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2...
= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan 46 ... tan 87 . tan 88 . tan 89
= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan( 90 - 44 ) ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
= tan 1 . tan 2 . tan 3 ...tan44 . tan 45 . cot 44 ... cot 3 . cot 2 . cot 1
= tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 44 . cot 44 . tan 45 ... tan 89 . cot 89
= 1 x 1 x 1 x ... 1 x ... x 1 . [ tan 45 = 1 ] .
= 1 .
= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan( 90 - 44 ) ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
= tan 1 . tan 2 . tan 3 ...tan44 . tan 45 . cot 44 ... cot 3 . cot 2 . cot 1
= tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 44 . cot 44 . tan 45 ... tan 89 . cot 89
= 1 x 1 x 1 x ... 1 x ... x 1 . [ tan 45 = 1 ] .
= 1 .
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The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2...
tan 1 . tan 2 . tan 3 ... tan 87 . tan 88 . tan 89 = LHS
tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
tan 1 . tan 2 . tan 3 ... cot 3 . cot 2 . cot 1
tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
tan 1 . tan 2 . tan 3 ... cot 3 . cot 2 . cot 1
tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 89 . cot 89
1 x 1 x 1 x 1 x ... x 1
As 1ⁿ = 1 = RHS
1 x 1 x 1 x 1 x ... x 1
As 1ⁿ = 1 = RHS
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The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer?
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The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer?.
The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of (tanl° tan2° tan3°... tan89°) isa)0b)1c)2d)1/2Correct answer is option 'B'. Can you explain this answer?.
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