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3 years ago

_____ is a form of reasoning that draws a conclusion from one or more particular facts or pieces of evidence.

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer: Induction

Explanation:

The induction is the term which is used to refers to the mathematics technique or the method that is typically used for prove any type of formulas and also the theorems based on the given reasoning statement.

The induction method is used for establishing the natural number in the form of statement as it helps in proof the given statement at the same moment.
Climbing the ladder is one of the best example that helps in understanding the concept of the mathematical induction.

According to the given question, the induction is one of the mathematical form that given a conclusion on the basis of the any specific evidence and facts.

Therefore, Induction is the correct answer.

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How to find the product of (3y^2+ 2y + 2)(3y^2- 4y - 5)

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= 9y^4 -6y^3 -17y^2 -18y -10

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3 years ago

1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β

slava [35]

Step-by-step explanation:

$\tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20}$

$\csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta$

Therefore,

$\sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20}$

$\csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2}$

$= > \sin y = - \frac{ \sqrt{6} }{3}$

Use the identity

$\cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3}$

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

$\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2}$