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3 years ago

Prove that :- Cos3A-cosA/sin3A-sinA+cos2A-cos4A/sin4A-sin2A=sinA/cos2Acos3A

1 answer:

8 0

$\dfrac{\cos^3A-\cos A}{\sin^3A-\sin A}+\dfrac{\cos^2A-\cos^4A}{\sin^4A-\sin^2A}=\dfrac{\sin A}{\cos^2A\cos^3A}\\\\L_s=\dfrac{\cos A(\cos^2A-1)}{\sin A(\sin^2A-1)}+\dfrac{\cos^2A(1-\cos^2A)}{\sin^2A(\sin^2A-1)}\\\\=\dfrac{\cos A(-\sin^2A)}{\sin A(-\cos^2A)}+\dfrac{\cos^2A\sin^2A}{\sin^2A(-\cos^2A)}\\\\=\dfrac{\sin A}{\cos A}-1=\tan A-1$

$R_s=\dfrac{\sin A}{\cos A\cos^4A}=\dfrac{\sin A}{\cos A}\cdot\dfrac{1}{\cos^4A}=\tan A\cdot\dfrac{1}{\cos^4A}=\dfrac{\tan A}{\cos^4A}$

$\boxed{L_s\neq R_s}$

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Katen [24]

<u>At Hayden's:</u>

$(25+3)= \ 28+3 \ (2nd \ hour)=31+3 \ (3rd \ hour)=34+3 . . . \swarrow\swarrow \\ \ \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \Longrightarrow \boxed{34+3=37}= \ (4rth \ Hour)$

<u>At Austins:</u>

$(5+8)= \ (first \ hour) = 13+8= \ 21 = (2nd \ hour) \ 21+8=29= \ \swarrow \\ \longrightarrow \ 29=(3rd \ hour)=\boxed{ 29+8= (37)= \ ((Forth \ hour))}$

As we can see in both results, it would take them (4 hours) for the prices to be equaled.

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3 years ago

Please help STRUGGLING with math few math questions! Ty

-BARSIC- [3]

Question 1:

F(x) and g(x) are like variables, just plug into the equation.

f(x) + g(x) = (x + 6) + (12x - 7)

x+6+12x-7 = 13x-1

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You plug in the x-values into the equation, and then take the answer and add them together.

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Question 3:

This is similar to question 1, plug in the variables and simplify.

9x - (7x+3)

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6 0

3 years ago

Read 2 more answers

Jonah is making a model house. The real house is 22 feet tall. His model is 10 inches tall. What is the foot : inch ratio for hi

Bumek [7]

Answer:

11: 5

Step-by-step explanation:

22 feet: 10 inches Reduce. 22/10 = 11/5

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2 years ago

Someone please help with this.

morpeh [17]

Answer:

8.2

Step-by-step explanation:

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3 years ago

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a

galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates (13,15) and (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

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3 years ago