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4 years ago

What is the largest number that can be produced by multiplying any three individual numbers from the following list.

Mathematics

1 answer:

Kryger [21]4 years ago

8 0

-9 times 9 times 8 equals 648.

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Given 1+cosx\sinx+sinx\1+cosx=4, find a numerical value of one trigonometric function of x.

Len [333]

Answer:

Option d. $sin(x)=\frac{1}{2}$

Step-by-step explanation:

The complete question is

Given (1+cosx)/(sinx) + (sinx)/(1+cosx) =4, find a numerical value of one trigonometric function of x.

a. tanx=2

b. sinx=2

c. tanx=1/2

d. sinx=1/2

we have

$\frac{1+cos(x)}{sin(x)}+\frac{sin(x)}{1+cos(x)}=4$

Find the common denominator and adds the fractions

$\frac{(1+cos(x))^2+sin^2(x)}{(1+cos(x))sin(x)}=4$

Expanded the numerator

$\frac{(1+2cos(x)+cos^2(x)+sin^2(x)}{(1+cos(x))sin(x)}=4$

Remember that

$sin^2(x)+cos^2(x)=1$ ----> trigonometric identity

substitute

$\frac{1+2cos(x)+1}{(1+cos(x))sin(x)}=4$

$\frac{2+2cos(x)}{(1+cos(x))sin(x)}=4$

Factor 2 in the numerator

$\frac{2(1+cos(x))}{(1+cos(x))sin(x)}=4$

Simplify

$\frac{2}{sin(x)}=4$

$sin(x)=\frac{1}{2}$

7 0

3 years ago

Prove identity: tanx-1/tanx+1= 1-cotx/1+cotx

Marina CMI [18]

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
The answer is
[(tan x - 1) / (tan x + 1)] = [(1 - cot x) / (1 + cot x )]

5 0

3 years ago

Which of the following is an ordered pair on the graph?

Dafna1 [17]

The answer would be A because (2,100) crosses the lines on the graph.

8 0

3 years ago

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Xavier downloaded songs to his ITunes library and spent $18.81. If each song costs $0.99, how many songs did he download?

ki77a [65]

Answer:

19 songs