4) 240

Help please ITS OF TRIGONOMETRY<br>PROVE

Flauer [41]

Answer:

The equation is true.

Step-by-step explanation:

In order to solve this problem, one must envision a right triangle. A diagram used to represent the imagined right triangle is included at the bottom of this explanation. Please note that each side is named with respect to the angle is it across from.

Right angle trigonometry is composed of a sequence of ratios that relate the sides and angles of a right triangle. These ratios are as follows,

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

One is given the following equation,

$\frac{sin(A)+sin(B)}{cos(A) +cos(B)}+\frac{cos(A)-cos(B)}{sin(A)-sin(B)}=0$

As per the attached reference image, one can state the following, using the right angle trigonometric ratios,

$sin(A)=\frac{a}{c}\\\\sin(B)=\frac{b}{c}\\\\cos(A)=\frac{b}{c}\\\\cos(B)=\frac{a}{c}$

Substitute these values into the given equation. Then simplify the equation to prove the idenity,

$\frac{sin(A)+sin(B)}{cos(A) +cos(B)}+\frac{cos(A)-cos(B)}{sin(A)-sin(B)}=0$

$\frac{\frac{a}{c}+\frac{b}{c}}{\frac{b}{c}+\frac{a}{c}}+\frac{\frac{b}{c}-\frac{a}{c}}{\frac{a}{c}-\frac{b}{c}}=0$

$\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{b-a}{c}}{\frac{a-b}{c}}$

Remember, any number over itself equals one, this holds true even for fractions with fractions in the numerator (value on top of the fraction bar) and denominator (value under the fraction bar).

$\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{b-a}{c}}{\frac{a-b}{c}}$

$\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{-(a-b)}{c}}{\frac{a-b}{c}}$

$1+(-1)=0$

$1-1=0$

$0=0$

7 0

3 years ago

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motikmotik

Step-by-step explanation:

$\frac{x - 9}{15} = \frac{2x - 9}{10} \\$

$\frac{x - 9}{3} = \frac{2x - 9}{2} \\$

$2( x - 9) = 3(2x - 9) \\$

$2x - 18 = 6x - 27$

$27 - 18 = 6x - 2x$

$9 = 4x$

$x = \frac{9}{4} \\$

5 0

3 years ago

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 3 sin(x2)

sweet [91]

The value of the given statement according to the mid point theorem is 5.

According to the statement

we have given that the equation and we have to integrate it with the help of the mid point theorem.

So, For this purpose, we know that the

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

So, The given equation is

$\int\limits^6_0 {Sinx } \, dx$

where n = 4

And

The mid point formula is a with limits a to b is

f(x) dx ≈ Δx (f (x₀ + x₁)/2) + (f (x₁ + x₂)/2) + ... (f (xₓ₋₂ + xₓ₋₁)/2) + (f (xₓ₋₁ + x)/2))

Then

Where Δx = (b-a)/n

Recall that

a= 0

b= 64 and

n=4, therefore,

Δx = (64-0)/4 = 16

The next step requires that the interval [0,64] be divided into 4 sub-intervals with length = Δx =16

Hence, we've got, 0, 16, 32, 48, 64.

From this point, we calibrate the respective functions as follows:

f (x₀ + x₁)/2) = f ((0+16)/2) = f(8) = Sin (8) = 0.98935824662

(f (x₁ + x₂)/2) = f((16+32)/2) = f(24) =Sin (24) = -0.905578362

(f (x₂ + x₃)/2) = f((32+48)/2) = f(40) = Sin (40) = 0.74511316047

(f (x₃ + x₄)/2) = f((48+64)/2) = f(56) = Sin (56) = -0.52155100208

At this point, we sum up the above values derive the product of the total and Δx = 16

sin (x) dx = 16(0.98935824662 - 0.905578362 + 0.74511316047 - 0.52155100208)

= 16 (0.30734204301)

= 4.91747268816

$\int\limits^6_0 {Sinx } \, dx = 5$

So, The value of the given statement according to the mid point theorem is 5.

Learn more about Mid point theorem here

brainly.com/question/9635025

#SPJ4

4 0

1 year ago

Help me plz thanks. :)

andre [41]

Answer:

ok ,so it. will be 4 ..................

7 0

3 years ago

Plz help me. I need to ace this. Thxx

S_A_V [24]

Answer:

Their intersection point is the only point where the same input into both functions yields the same output.

Step-by-step explanation:

In this case, x = 0 and y = 5.

4 0

3 years ago