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Olenka [21]
3 years ago
11

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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Answer:

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cos(y) = 5/12

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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

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

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8 0
2 years ago
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fenix001 [56]

Step-by-step explanation:

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

=G

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

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

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B - I

C - J

D - K

E - H

<em><u>H</u></em><em><u>O</u></em><em><u>P</u></em><em><u>E</u></em><em><u> </u></em><em><u>I</u></em><em><u>T</u></em><em><u> </u></em><em><u>H</u></em><em><u>E</u></em><em><u>L</u></em><em><u>P</u></em>

5 0
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]

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Step-by-step explanation:

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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
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