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Minchanka [31]
2 years ago
15

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

Mathematics
1 answer:
ad-work [718]2 years ago
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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The given term is 6n-38,<br> can u find the first four terms in the sequence
Hunter-Best [27]

Answer:

- 32, - 26, - 20, - 14

Step-by-step explanation:

To find the first 4 terms , substitute n = 1, 2, 3, 4 into the rule

a₁ = 6(1) - 38 = 6 - 38 = - 32

a₂ = 6(2) - 38 = 12 - 38 = - 26

a₃ = 6(3) - 38 = 18 - 38 = - 20

a₄ = 6(4) - 38 = 24 - 38 = - 14

3 0
2 years ago
Which of the following is not a requirement of a standard form equation Ax+By=C? a)A ≥ 0. b)B ≥ 0. c)A and B are not both 0. d)A
Ghella [55]
<h2>Answer:</h2>

The following which is not a requirement of a standard form of equation Ax+By=C is:

        b)   B ≥ 0    

<h2>Step-by-step explanation:</h2>

We know that the standard equation of a line is given by:

        Ax+By=C

where A,B and C are integers and A is taken to be a non-negative integer i.e. (A≥0) also the greatest common factor of A,B and C is: 1.

Also A and B can't be both zero.

       Hence, the correct option is:

                Option: b

7 0
2 years ago
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Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.
Salsk061 [2.6K]

Answer:

  • No

Step-by-step explanation:

  • <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>

<u>Percent increase:</u>

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<u>Percent decrease:</u>

  • (70 - 50)/70*100% = 28.57%

<u>Compare:</u>

  • 40% ≠ 28.57%
4 0
2 years ago
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Please help......................................
morpeh [17]

given:

she had: $35.13

+ her mom gave her: $7.50

+ she was paid $10.35

- add all of these up for total.

35.13 + 7.50 + 10.35

= $52.98

<em>look back at the answer i posted before for explanations. the answer for this would be 4/14, which is simplified to 2/7.</em>

<em />

7 0
2 years ago
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
Nady [450]

Do you notice anything strange about those points ?

(0, 1), 
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(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the  power of the x-coordinate.

First point:       x=0,  y=2⁰ = 1
Second point: x=1,  y=2¹ = 2
Third point:      x=2,  y=2² = 4
Fourth point:    x=3,  y=2³ = 8


The equation of the curve appears to be

                               y = 2 ^ x .

So, after 10 hours,  x=10, and  y = 2¹⁰ = 1,024 .

3 0
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