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tan1 tan2 tan3 ............tan89=1 what is the probability that a leap year selected at random will have 53 sundays if the polynomial x^4-6x^3+16x^2-26x+10 is divided by another polynomial x^2-2x+k gives reminder x+a . then find a and k.
Asked by sanjaysahu675 | 16 Jan, 2019, 10:49: PM
tan1 tan2......tan45.....tan88 tan89

= tan1tan2....tan45...tan(90 - 2)tan(90 - 1)                  tan (90 - x) = cot x

= tan1 tan2....tan45....cot2 cot1

= (tan1 cot1) (tan2 cot2) .......tan 45

= 144 × 1                                                                tanx cotx = 1

= 1

= RHS

tan1 tan2......tan45.....tan88 tan89 = 1
Answered by Sneha shidid | 17 Jan, 2019, 09:36: AM

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