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Juliette [100K]
2 years ago
15

(1+sin y)(1+sin (-y))=cos^2 y)

Mathematics
2 answers:
Goryan [66]2 years ago
5 0
Sin (-x) = - sin x
sin^2+cos^2=1

(1+siny)(1-siny)=cos^2y 
1-sin^2=cos^2y
cos^y=cos^2



Sloan [31]2 years ago
4 0
(1+siny)(1+sin(-y))=cos^2y\\\\L=(1+siny)(1-siny)=1^2-sin^2y=1-sin^2y=cos^2y\\\\R=cos^2y\\\\L=R


sin(-x)=-sinx\\\\sin^2x+cos^2x=1\to1-sin^2x=cos^2x\\\\(a+b)(a-b)=a^2-b^2
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The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f (
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Complete  Question

The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?

A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?

B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?

C. In  2016 , some cars cost  $980 more than the cost of a new Accord.How much does the other cars cost (in dollars)in 2016?

Answer:

a

     The cost of  a new Accord in 2013 compared to 2010 is  z  =  f(13) -  f(10)

b

   The magnitude at which the cost of   a new Accord in 2013 is greater          than the cost in 2010 is  

          x =  \frac{f(13)}{f(10)}

c

    The cost of the other cars is 2016 is   r  =  980 + f(16)

Step-by-step explanation:

From the question we are told that

     The cost (in dollars) of a new Honda Accord is  f(t)

       Where t is  number of years after 2000

The cost of the  Honda Accord at 2013 is  

        f(2013 - 2000) =  f(13)

The cost of the  Honda Accord at 2010 is  

        f(2010 - 2000) =  f(10)

So the cost difference between 2013 and 2010 is mathematically evaluated as

         z  =  f(13) -  f(10)

Let constant at which the cost of Honda Accord in 2013 is greater than its cost at 2010 be  x

So

      f(13) =  x f(10)

=>      x =  \frac{f(13)}{f(10)}

  The cost of the Honda Accord in 2016 is mathematically evaluated as

          f(2016 - 2000) =   f(16)    

Now the cost of these other cars is  mathematically evaluated as  

         r  =  980 + f(16)

7 0
2 years ago
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