Given that sinx = 1/5, we can find cosx by using the Pythagorean identity sin^2x + cos^2x = 1.
sinx = 1/5sin^2x = 1/25cos^2x = 1 - sin^2xcos^2x = 1 - 1/25cos^2x = 24/25cosx = ±√(24/25)cosx = ±4/5
Next, we can find ctgx by using the identity ctgx = cosx/sinx.
ctgx = cosx/sinxctgx = (4/5) / (1/5)ctgx = 4
Therefore, cosx can be either 4/5 or -4/5, and ctgx is 4.
Given that sinx = 1/5, we can find cosx by using the Pythagorean identity sin^2x + cos^2x = 1.
sinx = 1/5
sin^2x = 1/25
cos^2x = 1 - sin^2x
cos^2x = 1 - 1/25
cos^2x = 24/25
cosx = ±√(24/25)
cosx = ±4/5
Next, we can find ctgx by using the identity ctgx = cosx/sinx.
ctgx = cosx/sinx
ctgx = (4/5) / (1/5)
ctgx = 4
Therefore, cosx can be either 4/5 or -4/5, and ctgx is 4.