If x is an acute angle and tan x = 5, the value of sin x = . the value of cos x = . sin x (a) 1/5 (b) 5/26 (c) 6/5 cos x (a) 1/26 (b) 6/26 (c) 3/13

We have that
tan x=5

we know that
tan x =sin x/ cos x
sin x/ cos x=5> squaring> sin² x/cos² x=25
remember that
sin² x+cos² x=1> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26

cos² x=1-(5/√26)²> 1-(25/26)> 1/26
cos x=1/√26

the answers are
sin x=5/√26
cos x=1/√26

Answer: v= lwhstep by step explanation: length x width x heightl = 12kmw = 6kmh = 6km12 x 6 = 7272 x 6 = 432therefore your answer would be c) 432 km^3