All categories

3 years ago

Prove the identity sin(x) = cos(x)tan(x)

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

3 0

Answer:

Step-by-step explanation:

$sin ~x=sin~x \times \frac{cos~x}{cos~x} =\frac{sin~x}{cos~x} \times cos ~x=tan~x*cos ~x$

You might be interested in

You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

8 0

3 years ago

Which of the following multiplication problems has a product that is less than 25? Select 3.

Stolb23 [73]

Your is answer is gonna be a

5 0

3 years ago

the table shows the name of each volunteer and the height of the baby elephant each volunteer measured. which volunteer measured

daser333 [38]

So in order to compare, the measurements have to same units. So lets convert everything to feet.

George 2 yds = 6 ft Kelsey 68 inches = 5 ft 8"

Mariah 5 feet Brian 5 ft 10 "

George measured the tallest at 6'

Hope this helped.

4 0

3 years ago

Help from anyone please

Olegator [25]

Find the pattern. 184-164 gets you 20. so 84 - 20 is your answer

6 0

3 years ago

Please explain and show work

Vladimir79 [104]

Answer:

a. 1

b. any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers