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seropon [69]
3 years ago
8

I NEED HELP PLEASE, THANKS! :)

Mathematics
2 answers:
Afina-wow [57]3 years ago
6 0

Answer:

Third option is the right choice.

Step-by-step explanation:

Manipulate the right hand side.

\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}

Best Regards!

Andreyy893 years ago
6 0

Answer:

sin ^2 (x)+ cos^2(x)  = 1

Step-by-step explanation:

sin ^2 (x)+ cos^2(x)

------------------------

cos (x)

We know that  sin ^2 (x)+ cos^2(x)  = 1

1

------------------------

cos (x)

The definition of sec is 1 /cos

= sec(x)

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creativ13 [48]

Answer:

(a) a_n=1+\frac{1}{6}(n-1)

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

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(a).

Explicit formula for an arithmetic sequence is given as:

a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}

Here, a_1=1,a_7=2

So,

a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}

Therefore, the explicit definition of the above sequence is given as:

a_n=1+\frac{1}{6}(n-1)

Where, a_n is the miles covered on n^{th} day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi

Therefore, the number of miles covered by her on day 19 is 4 miles.

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3 years ago
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kozerog [31]
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~~

I hope that helps you out!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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