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3 years ago

1 ln(1) + 2 ln(2) + 3 ln(3) + ⋯ + 10 ln(10)

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Answer:

$\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )$

Step-by-step explanation:

By logarithm rules

$\ln1+2\ln2+3\ln3+....+10\ln10\\\ln1+\ln2^2+\ln3^3+....\ln10^{10}\\\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )$

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What is the step by step of 1/ cos x csc^2 x = sin x/ cot x

Effectus [21]

Answer:

what is the step by step of 1/ cos x csc^2 x = sin x/ cot x

Step-by-step explanation:

csc

sin

cot

cos

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Given,

−

cos

sin

csc

−

cot

Simplify the right side.

csc

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7 0

3 years ago

A family has an annual income of $30,600 Of this, 1/4 is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for savin

Ksenya-84 [330]

Answer:

$6,120

Step-by-step explanation:

1/5 (one-fifth) of the family's annual income ($30,600) is spent on housing- as the word problem states.

You have to find 1/5 (one-fifth) of* $30,600.

Write it out as an equation.

$\frac{1}{5} \times 30600$

*The of in the word equation (1/5 of 30600) simply means multiplication.

4 0

3 years ago

How to simplify 4/10 what's the answer?

Pani-rosa [81]

4/10 is 2/5 or 0.4 in decimal form.

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3 years ago

Verify that (cos²a) (2 + tan² a) = 2 - sin² a....

Sveta_85 [38]

Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

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2 years ago

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big game world is having a sale on video games this store is offering a sale pack of 4 video game for 43dollars and 80 cents wha

dangina [55]

4 x U(unit price) = $43.80

U = 43.80 / 4

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3 years ago