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jek_recluse [69]
3 years ago
12

Graph the expression sec2 x - sec2 x sin2 x on your calculator. Determine what constant or single function is equivalent to the

given expression.

Mathematics
1 answer:
ladessa [460]3 years ago
4 0
The given function is
f(x) = sec²x - sec²x sin²x

Note that
sin²x + cos²x = 1, so that 1 - sin²x = cos²x.
Also, sec(x) = 1/cos(x).

Therefore
f(x) = sec²x(1 - sin²x)
      = sec²x cos²x
      = 1

Answer:
The graph of the given function should be a constant value of 1.

The graph is shown below.

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Step-by-step explanation:

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How many 7 digit phone numbers are there assuming the first digit can't be a 0 or a 1?
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The first digit can be any one of the numbers 2-9 That a total of 8 numbers.

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(10 numbers)

nPr  =  n! / r!

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If someone could explain this to me that be really great :p
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4 0
3 years ago
aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu
Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86           .........1

Again

E = 2 × B                           ..........2

Again

A = B - 6                            ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴   B = \dfrac{92}{4}

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵  E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  . Answer

6 0
3 years ago
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