All categories

3 years ago

Please help me with this question I also need to see the steps if possible!

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

Hi there!

To solve, we must use the following trig identity:

sin(u - v) = sin(u)cos(v) - sin(v)cos(u)

We can rewrite the left hand side of the equation as:

$\frac{sin(u)cos(v)-sin(v)cos(u)}{sin(u)cos(v)}$

Split the fraction:

$\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =$

First fraction reduces to 1:

$1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =$

Simpify each with common arguments:

$1 - tan(v)cot(u)$

You might be interested in

Perpendicular lines intersect to form right angles. What is true about the statement? Check all that apply. The hypothesis is “i

love history [14]

Answer:

1. The Hypothesis is "If lines are perpendicular" 2. This Is a Compound Statement 3. This is a Conditional Statement

Step-by-step explanation:

I just did this and It showed me the answers

6 0

3 years ago

ONLY ANSWER NUMBER 1!<br> name the supplement of

Illusion [34]

Answer:

It's angle ABE

Step-by-step explanation:

It's supplementary because the sum of the measurements of both angles EBC and ABE is 180°

3 0

3 years ago

What is the true solution to 3 in 2 + in 8 = 2 in (4x)

11Alexandr11 [23.1K]

The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑( $a^{x}$ ) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑( $a^{x}$ ),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑( $a^{x}$ ),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑( $2^{6}$ )
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = $2^{6}$
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
, x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)

5 0

3 years ago

Read 2 more answers

Consider the tables created using an initial investment of $1,000 and quarterly compounding of interest.

Andru [333]

Answer:

(d) The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.

Step-by-step explanation:

If functions are represented by a table of ordered pairs, their inverse function is the set of ordered pairs with the x- and y-values swapped.

Here, for (x, y) = (0.75, 1038.18), the pair from the other table that begins to correspond is (y, x) = (0.75, 1057.81). These reversed pairs are not the same, so the functions are not inverses of each other.

_____

<em>Comment on the tables</em>

Table A is for a 5-year investment; table B is for a 7.5 year investment. They cannot be inverses of each other.

8 0

3 years ago

Read 2 more answers

What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu

notsponge [240]

Answer:

The volume of the pyramid is $1,260\ cm^{3}$