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CBSE Class 10 Answered

tan1 tan2 tan3 ............tan89=1 what is the probability that a leap year selected at random will have 53 sundays  
Asked by sanjaysahu675 | 16 Jan, 2019, 10:41: PM
answered-by-expert Expert Answer
Only one question is answered per posting
 
tan(90-θ) = cot(θ)
 
hence tan(1)× tan(89) = tan(90-89) × tan(89)  = cot(89)× tan(89) =1
 
similarly, tan(2)×tan(88) =1 
              tan(3)×tan(87) = 1
              tan(4)×tan(86) = 1
              .............................
              .............................
              tan(44)×tan(46) =1
                   tan(45)          =1
 
if we combine all the equations,  tan(1) tan(2) tan(3) ......................tan(88) tan(89) =1
Answered by Thiyagarajan K | 16 Jan, 2019, 11:09: PM
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