Answer:
Step-by-step explanation:
Given the expression cosec (x) = 4 and tan(x)< 0
since cosec x = 1/sinx
1/sinx = 4
sinx = 1/4
From SOH, CAH TOA
sinθ = opposite/hypotenuse
from sinx = 1/4
opposite = 1 and hypotenuse = 4
to get the adjacent, we will use the Pythagoras theorem
adj² = 4²-1²
adj² = 16-1
adj ²= 15
adj = √15
cosx = adj/hyp = √15/4
tanx = opposite/adjacent = 1/√15
since tan < 0, then tanx = -1/√15
From double angle formula;
sin2x = 2sinxcosx
sin2x = 2(1/4)(√15/4)
sin2x = 2√15/16
sin2x = √15/8
for cos2x;
cos2x = 1-2sin²x
cos2x = 1-2(1/4)²
cos2x = 1-2(1/16)
cos2x= 1-1/8
cos2x = 7/8
for tan2x;
tan2x = tanx + tanx/1-tan²x
tan2x = 2tanx/1-tan²x
tan2x = 2(-1/√15)/1-(-1/√15)²
tan2x = (-2/√15)/(1-1/15)
tan2x = (-2/√15)/(14/15)
tan2x = -2/√15 * 15/14
tan2x = -30/14√15
tan2x = -30/7√15
rationalize
tan2x = -30/7√15 * √15/√15
tan2x = -30√15/7*15
tan2x = -2√15/7
Answer: 88 gallons
Step-by-step explanation:
Every 2 vanillas = 11 chocolates
so 16 vanillas = 88 chocolates
i did this by multiplying both numbers by 8
sorry if this is wrong
Answer:
(tan(theta)-1)^3
= (tan(theta)-1)(tan(theta)-1)(tan(theta)-1)
= (tan^2(theta)-2tan(theta)+1)(tan(theta)-1)
= tan^3(theta)-2tan^2(theta)+tan(theta)-tan^2(theta)+2tan(theta)-1
= tan^3(theta)-3tan^2(theta)+3tan(theta)-1
Hope this helps :)
By rounding to the nearest one it means round to the nearest whole number. So basically, the number 0.7414 rounded to the nearest whole number would be 1.
Answer:
mega mind<3<3<3<3<3<3<×<×<3<3<×
