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, 22:41: PM
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, 23:09: PM
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