Step-by-step explanation:
- sinx+sin(x+4x) =cot2x
- sinx+sinx cos4x+cosx sin4x=cot2x
sinx+sinx cos4x=sinx (1+cos4x) =
sinx (1-1+2(cos2x)^2) =2sinx (cos2x)^2
sin4x=2sin2xcos2x
2sinx(cos2x)^2+cosx+2sin2xcos2x=cot2x
2sinxcos2x(cos2x+2(cosx)^2)=cot2x
but 2(cosx)^2=cos2x+1
2sinxcos2x(cos2x+cos2x+1)=cos2x/sin2x
(2sinxsin2x)(2cos2x+1) =1
(4cosx(sinx)^2)(2cos2x+1) =1
Answer:
Hope this helps I'm not sure if its correct though, it must be correct anyway. So yea.
Answer:
Step-by-step explanation:
x - y = 34
x + y = 212
-------------------add
2x = 246
x = 246/2
x = 123 <=== 123 domestic
x + y = 212
123 + y = 212
y = 212 - 123
y = 89 <===== 89 foreign
Answer:
4 ounces of corn and 4 ounces of squash
Step-by-step explanation:
Let S be the no. of ounces of squash
Let C be the no. of ounces of corn
C》2 --> (A)
S》C --> (B)
Total protein 》 3
½C + ¼S》3 --> (C)
Solve A and C simultaneously
½(2) + ¼S = 3
¼S = 2
S = 8
C = 2, S = 8
Solve B and C simultaneously
½S + ¼S = 3
¾S = 3
S = 4
C = 4, S = 4
Three possible extreme combinations
C = 2, S = 8: Total = 10
C = 4, S = 4: Total = 8
Minimum is 8 ounces
Answer:
0.4970
Step-by-step explanation:
I might be wrong