Given the sum of sec and tan, Find the value of csc and cot (Posted on 2023-10-27)

	Submitted by K Sengupta
Rating: 5.0000 (1 votes)
Solution:	(Hide)
(1+sinx)/cos x = 22/7 And, csc x + cot x = (1+cosx)/sinx Then, ((1+sinx)/cos x)((1+cosx)/sinx) = (1+ sin x+ cos x+ sin x. cos x)/(sin x.cos x) = ( sin^2x+ cos^2x + sin x +cos x + sinx.cos x)/(sin x. cos x) = (1+ (sinx (1+sin x) +cosx (1+cosx)/sin x.cosx) = 1+ ((1+sin x)/cosx)((1+cos x)/sin x) Therefore, we must have: (22/7)*((1+cos x)/sinx) = 1+ 22/7+ ((1+cos x)/sin x) => (15/7)*(1+cosx)/sinx = 29/7 => (1+ cos x)/sin x = 29/15 => csc x + cot x = 29/15

	Subject	Author	Date
	No Subject	K Sengupta	2023-11-20 10:38:51
	Wirter	Geyger	2023-11-19 11:24:22
	the hard way	Larry	2023-10-27 12:31:53
	Possible solution	Jer	2023-10-27 08:44:32
	computer answer	Charlie	2023-10-27 08:39:51