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2 years ago

Given: Cosine (x minus y)

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

6 0

The required steps that complete the proof are:

Step 1: Cofunction Identity

Step 5: Sine Difference Identity

Step 6: Cofunction Identity

Step 7: Cosine Function Is Even, Sine Function Is Odd

<h3>Trigonometry identity</h3>

Given the cosine function expressed as:

cos(x - y)

The first step is to apply the cofunction identity as shown:

Step 1: Cofunction Identity

cos(90 - x) = sin x

cos(x - y) = sin (90-(x-y))

Step 5: Sine Difference Identity

For the fifth step, you will apply the sine difference identity.

Step 6: Cofunction Identity

To get the sixth step, you will apply the Cofunction Identity on the result in the fifth step.

The final step 7 will be

Step 7: Cosine Function Is Even, Sine Function Is Odd

Learn more on trigonometry identity here: brainly.com/question/24496175

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The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your

umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is 27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

Sea tank looks like a rectangular prism,

Formula to calculate the volume of rectangular prism,

$Volume, V =whl$ .............................(1)

Where, w - Width of the rectangular prism

h - Height or depth of the rectangular prism

l - Length of the rectangular prism

From given,

w = 35 meters

l = 27 meters

h = 10 meters

Equation (1) becomes,

$V = (35)(10)(27)$

$= (945)(10)$

$=9450$

Volume of the sea tank, V = 9450 Cubic meters

Result:

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is 27m long, 35m wide and 10m deep.

3 0

3 years ago

A metal cube contracts when it is cooled. if the edge of the cube is decreasing at a rate of 0.2 cm/hr, how fast is the volume c

aleksandr82 [10.1K]

Answer:

2160 cm³/hour

Step-by-step explanation:

By default, we know that the volume of a cube is given as s³

Thus, the Volume function, V = s³

When we differentiate with respect to time we have

dV/dt = 3s² (ds/dt), where ds/dt = 0.2

Then we go ahead and substitute all the given parameters

dV/dt = 3 x 60 x 60 x 0.2

dV/dt = 10800 * 0.2

dV/dt = 2160 cm³/hour

This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm

7 0

2 years ago

In prime factorization how do you know there is a perfect square

kaheart [24]

To know if there is a perfect square you gotta see if there is a minus sign before the second coefficient and when you square the second coefficient divided by 2 you should get the third coefficient

4 0

3 years ago

Please help geometry

sveta [45]

Answer:

The answer to your question is 11.4 units

Step-by-step explanation:

Data

A (-3, -1)

B ( 0, 3)

C ( 1, 2)

Perimeter = ?

Formula

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

Process

1.- Find the length between the points

dAB = $\sqrt{0 + 3)^{2} + (3 + 1)^{2}}$

dAB = $\sqrt{3^{2}+ 4^{2}}$

dAB = $\sqrt{9 + 16}$

dAB = $\sqrt{25}$

dAB = 5

dBC= $\sqrt{(1 - 0)^{2} + (2 - 3)^{2}}$

dBC = $\sqrt{1^{2} + (-1)^{2}}$

dBC = $\sqrt{1 + 1}$

dBC = $\sqrt{2}$

dAC = $\sqrt{(1 + 3)^{2} + (2 + 1)^{2}}$

dAC = $\sqrt{4^{2} + 3^{2}}$

dAC = $\sqrt{16 + 9}$

dAC = $\sqrt{25}$

dAC = 5

2.- Perimeter

P = AB + BC + AC

P = 5 + $\sqrt{2}$ + 5

P = 10 + $\sqrt{2}$

P = 10 + 1.42

P = 11.4

7 0

3 years ago

Please help with this question!!!!!

Finger [1]

72 in2 because you add the area of everything

5 0

2 years ago