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Gennadij [26K]
3 years ago
14

What is the following quotient

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

<em>The answer is the option A.</em>

Step-by-step explanation:

The Given Expression is

60 and 1/3

20 and 1/3

= (2*2*3*5) 1/3

  ( 2*2*5) 1/3

<em>= Cancelling 2*2*3 from numerator and denominator</em>

<em>= 3 and 1/3</em>

<em>Factor of 60 and 20 are</em>

<em>60=2*2*3*5</em>

<em>20=2*2*5</em>

Option A

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Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
 then,  Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]

Now, we have to find the value of cos Ф.
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sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9)        (sec²Ф will have a negative value, because Ф is in the        sec Ф=-5/3                                 third quadrant).

cos Ф=1/sec Ф
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tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2

Answer: tan (Ф/2)=-2; when tan (Ф)=4/3


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