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if seca x14x prove that secatana2x or 12xans sec x 14xrarr sec2 x
if cossin radic2 cos prove that cos - sin radic2 sin ans cos sin radic2 cosrarr cos sin2
if 7sin23cos2 4 show that tan 1radic3
if sin 12 show that 3cos-4cos3 0ans sin frac12rarr 30osubstituting in place of 30o we get
prove that sec2thetacosec2theta can never be less than 2ans st sec2theta cosec2theta can never be less than 2if possible let it be less
trigonometry the mathematician is fascinated with the marvelous beauty of the forms he constructs and
writ the equation that describes the motion of a point on the wheel that has a center of 4m off the ground has radius of 15 cm makes a full rotation
the bowling alley suggests selecting a ball that is 17 of the bowlers weight if the bowler weighs 84 pounds how much should the bowling ball
find the sum of all natural numbers amongst first one thousand numbers which are neither divisible 2 or by 5ans sum of all natural
if there are 2n1terms in an ap prove that the ratio of the sum of odd terms and the sum of even terms is n1nans let a d be the i term
the ratio of the sum of first n terms of two aps is 7n14n27 find the ratio of their 11th terms ans let a1 a2 and d1 d2 be
find the sum of all natural no between 101 amp 304 which are divisible by 3 or 5find their sumans no let 101 and 304 which are divisible
find the common difference of an ap whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 termsans a
find the middle term of the ap 1 8 15505ans middle termsa n-1d 505a n-17 505n - 1 5047n 73there4 37th term is middle terma37 a
if 1x2 1x3 1x5 are in ap find xans 1x21x3 1x5 are in ap find x1x3 - 1x2 1x5-1x3gt 1x2 5x6 2 x2 8x 15gt on solving we get x
if the pth term of an ap is q and the qth term is p pt its nth term is pq-nans apqap qaq pan a p-1 d qa q-1 d pdp - q q - p
write the next two terms radic12 radic27 radic48 radic75ans next two terms radic108 radic147 ap is 2 radic3 3 radic3 4 radic3 5
find the sum of ab a-b a-3b to 22 termsans a b a - b a - 3b up to 22 terms d a - b - a - b 2bs22 222 2ab21-2b112a 2b - 42b 22a - 440b
if the following terms form a ap find the common difference amp write the next3 terms3 3 radic2 32radic2 33radic2ans d radic2 next three
find the sum of 1 - 1n 1 - 2n 1 - 3n upto n termsans 1 - 1n 1 - 2n - upto n terms rarr11n terms - 1n 2n n termsn -sn
balls are arranged in rows to form an equilateral triangle the first row consists of one ball the second two balls and so on if 669 more
if the roots of the equation b-cx2 c-ax a-b 0 are equal show that a b c are in apans refer sum no12 of qeif b-cx2 c-ax a-bx have equal
prove that am n am - n 2amans a m n a1 m n - 1 da m-n a1 m - n -1 dam a1 m-1 dadd 1 amp 2a mn a m-n a1mn-1 d
raghav buys a shop for rs120000he pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of rs5000 each
find the value of x if 2x 1 x2 x 1 3x2 - 3x 3 are consecutive terms of an apans a2 -a1 a3 -a2rarr x2 x 1-2x - 1 3x2 - 3x 3-