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ivann1987 [24]
3 years ago
10

Between which of the following pairs of numbers, can a rational number be found? (answer can be more than one pair)

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

Between all these pairs of numbers,a rational number can be found in all the 3 pairs

Step-by-step explanation:

PAIR1: -10 and -9

Rational numbers are: -10.5,-10.6,-10.1,etc (there are way more)

PAIR2: 5.91 and 5.92

Rational numbers:- 5.915,5.916,etc(there are way more)

PAIR3:2/3 and 4/5

LCM= 15

2/3=10/15

4/5=12/15 between these two (10/15 & 12/15)

Rational numbers: 11/15, 11.5/15(because it's result would be a recurring/repeating decimal),etc

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Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

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To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

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[As secƟ = 1/cosƟ)

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Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

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1 year ago
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