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artcher [175]
3 years ago
10

Which of the following are identities?

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

A and D.

Step-by-step explanation:

(sin(x-y))/(cosxcosy)

(sinxcosy - cosxsiny) / cosxcosy

=  sinx / cosx - siny/cosy

= tanx - tany.  

So A is an identity.

B.   (sin(x+y))/(sinxsiny)

= sinx cosy + cosx siny / sinxsiny

= cosy/siny + cosx/sinx

= 1/tany + 1/tanx which is not identical with 1-tanxtany.

C.  tan ( x - pi/4) =    ( tan x - 1) / (1 + tanx) : - not identical to tanx - 1.

D.  cos( x + (pi/6) = cosxcos(pi/6) - sinxsin(pi/6)

     =    0.866cosx - 0.5sinx

    - sin(x - (pi/3) = -(sinxcos(pi/3) - cosxsin(p/3))

     =   - (0.5sinx - 0.866cosx0

     = 0.866cos x - 0.5sinx.

which are identical.

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Simultaneous Equations <br> 2x+4y=22 <br> 2x+2y=15
Aleks04 [339]

Answer:

x = 4

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Step-by-step explanation:

Ummmm

I'm not sure if this is corrrect but this is what I got

So first you solve 2x+4y=22 to find x

and you get x = -2y+11

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Which factoring method would be best to factor x^2 - 9?
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Both of the terms x^2 and 9 are squares, so their difference is the difference of squares. The factorization of that is a "special form" that can be usefully memorized.

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