Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
I believe the answer is 1.35 x10^14
Answer:
Lila will have read to 186
Nora will be on page 184
Step-by-step explanation:
We need to write equation for both mandy and bill on how many books they read depending on how many months passed.
Mandy's equation:
16 + 2x
she starts with 16 read books and she reads 2 books each month which is in total 2*x where x is number of months
Bill's equation:
4x
because from table we can see he is reading 4 new books each month.
now we need to make those 2 equations equal to eachother and solve for x because we want to see after how many months both will read the same that is why we set them equal.
16 + 2x = 4x
16 = 2x
x = 8
That means that in december he will catch her (if i counted months correctly :) )
