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kobusy [5.1K]
3 years ago
14

Tanx cscx= 1/f(x)simplify and write the trigonometric expression in terms of sine and cosine​

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

f(x) = cos(x)

Step-by-step explanation:

tanx cscx = (sinx/cosx) * (1/sinx) = 1/cosx

1/f(x) = 1/cosx

f(x) = cos(x)

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The large Ferris wheel makes a revolution in 60 seconds. The small Ferris wheel makes one revolution in 20 seconds. How many sec
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120 seconds

Step-by-step explanation:

60         20

120        40

180       60

            80

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What kind of novel is nutshell? ​
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For your vegetable garden, you plan to plant 5 12 of it in corn, 1 6 in different kinds of beans, and 1 12 in tomatoes. You will
Ymorist [56]

Answer:

\frac{2}{9}  part of the garden will be planted in onions and squash combined.

Step-by-step explanation:

Given:

For your vegetable garden, you plan to plant 5 12 of it in corn, 1 6 in different kinds of beans, and 1 12 in tomatoes.

You will plant the remainder equally in eggplant, onions, and squash.

Now, to find the part of garden that will be planted in onions and squash combined.

Part of garden plan for planting corn = \frac{5}{12}

Part of garden plan for planting kinds of bean = \frac{1}{6}

Part of garden plan for planting tomatoes = \frac{1}{12}

So, adding all the parts of corn, beans and tomatoes:

\frac{5}{12}+\frac{1}{6}  +\frac{1}{12} \\\\=\frac{5+2+1}{12} \\\\=\frac{8}{12}

Now, to get the rest of the parts of garden use to plant eggplant, onions, and squash we subtract \frac{8}{12} from 1 whole:

1-\frac{8}{12} \\\\=\frac{12-8}{12} \\\\=\frac{4}{12}

As, given planting the remainder equally in eggplant, onions, and squash.

So, each will be planted in part of:

\frac{4}{12} \div 3

=\frac{4}{12}\times \frac{1}{3}

=\frac{4}{36}

On simplifying it:

=\frac{1}{9}.

Thus, \frac{1}{9}  part of the garden for each eggplant, onions, and squash.

Now, to get the part of the garden will be planted in onions and squash combined we add \frac{1}{9} part of garden planting for onions and \frac{1}{9} of squash:

\frac{1}{9} +\frac{1}{9} \\\\=\frac{1+1}{9} \\\\=\frac{2}{9}

Therefore, \frac{2}{9}  part of the garden will be planted in onions and squash combined.

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