Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
Answer:
8 : 6 = 24 : 18
Step-by-step explanation:
If there were 24 girls in class, there would be 18 boys.
Girls: 8, 16, 24
Boys: 6, 12 , 18
Answer:
It's A
Step-by-step explanation:
I've already done this!
<span>to answer the question above, take the LHS.
[(tan x - 1) / (tan x + 1)] =
Remember that tan x = 1 / cot x.
{[(1 / cot x) - 1] / [(1 / cot x) + 1]} =
The LCD is cot x. Multiply as needed to get the common denominator for all terms.
{[(1 / cot x) - 1(cot x / cot x)] / [(1 / cot x) + 1(cot x / cot x)]} =
{[(1 / cot x) - (cot x / cot x)] / [(1 / cot x) + (cot x / cot x)]} =
Then Simplify.
[(1 - cot x) / cot x] / [(1 + cot x) / cot x] =
Remember that (a / b) / (c / d) = (a / b) * (d / c).
[(1 - cot x) / cot x] * [cot x / (1 + cot x)] =
[(1 - cot x) / (1 + cot x )] =
RHS</span>
The answer is
<span>[(tan x - 1) / (tan x + 1)] = [(1 - cot x) / (1 + cot x )] </span>
