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3 years ago

3 csc^2(2x) + 2 cosec 2x = 1-cot^2(2x)

Mathematics

1 answer:

asambeis [7]3 years ago

3 0

I am assuming you want to solve for x:-

Now cosec^2 2x = 1 - cot^2 2x so the equation becomes

3 cosec^2(2x) + 2 cosec 2x = cosec^2 2x

2 cosec^2 2x + 2 cosec 2x = 0

2 cosec 2x ( cosec 2x + 1) = 0

so 2 cosec 2x = 0 or cosec 2x = -1

cosec 2x = 0 or cosec 2x = -1

cosec 2x = 0 is indeterminate so we ignore the first one

cosec 2x = -1 can be written as 1 / sin 2x = -1

so sin 2x = -1

giving 2x = 270 degrees

Therefore x = 135 degrees answer

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Katen [24]

Answer:

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Step-by-step explanation:

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2 years ago

Please help me with this problem, please

Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

$sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}$

where $\theta$ is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem $a^2+b^2=c^2$

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$\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13$

Now we can use the trig ratios:

$\implies sin(x)=\dfrac{5}{13}$

$\implies cos(y)=\dfrac{5}{13}$

Therefore, sin(x) = cos(y)

8 0

2 years ago

I don't get it please Help me

fenix001 [56]

Step-by-step explanation:

A. 2(x+4)=2x+8

B. 3(2x-1)=6x-3

C. 4(x+2)=4x+8

D. 2(x+3)=2x+6

E. 3(4x+1)=12x+3

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C - J

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3 years ago

The ratio of the number of circles to the number of triangles in simplest form is ___. The number of circles that need to be add

steposvetlana [31]

Answer:

Step-by-step explanation:

9+10+21

7 0

2 years ago

Read 2 more answers

In December 2004, a report based on the National Survey on Drug Use and Health estimated that 20% of all Americans aged 16 to 20

o-na [289]

Answer:

542

Step-by-step explanation:

We are required to find the sample size at 98% confidence interval in this question

E = 0.04

P* = 20% = 0.20

n = p* x (1-p)(Zα/2÷E)²

α = 1 - 0.98

= 0.02

To get Critical value

= 0.02/2 = 0.01

The critical value at 0.01 is 2.33

Inserting values into formula:

O.2 x 0.8(2.33/0.04)²

= 0.8 x 0.2 x 58.25²

= 542.89

The value of n must be an integer therefore the answer is 542.

4 0

2 years ago