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natali 33 [55]
3 years ago
12

20 POINTS

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

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If 2/3 of a certain number is subtracted from twice the number, the result is 20. Find the number.​
sleet_krkn [62]

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What is the solution to the expression 12÷4+(1/3)²⋅9⋅3 ?
krok68 [10]

Answer:

6

Step-by-step explanation:

STEP

1

:

           1

Simplify   —

           3

The equation at the end of step

1

:

 12       1

 —— +  (((—)2) • 9) • 3)

 4        3

STEP

2

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Equation at the end of step

2

:

 12       1

 —— +  ((—— • 9) • 3)

 4       32

STEP

3

:

Canceling Out:

3.1      Canceling out  32 as it appears on both sides of the fraction line

Equation at the end of step

3

:

 12    

 —— +  (1 • 3)

 4    

STEP

4

:

           3

Simplify   —

           1

Equation at the end of step

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 3 +  3

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5

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Pulling out like terms

5.1      Pull out     3

After pulling out, we are left with :

     3 • ( 1 - (-1) ))

Final result :

 6

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