themountaintrolls
contestada

Choose a justification for each step in the derivation of the sine difference identity.

Step 1:

Step 2: Distributive property

Step 3: Associative property

Step 4: Factoring out –1

Step 5:

Step 6:

Step 7:

Choose a justification for each step in the derivation of the sine difference identity Step 1 Step 2 Distributive property Step 3 Associative property Step 4 Fa class=

Respuesta :

rojasjacob15

Answer:

Step 1:  

✔ Cofunction identity

Step 5:  

✔ Sine difference identity

Step 6:  

✔ Cofunction Identity

Step 7:  

✔ Cosine function is even, sine function is odd.

Step-by-step explanation:

ashishdwivedilVT

The Sine difference function was derivated with the help of the sine sum function.

What is the sine difference function?

The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.

As we know that

[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)

If we replace b by -b equation (1) becomes

[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]

We know that

Cos(-b) =cosb

Sin(-b) =-Sinb

So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]

Therefore, the Sine difference function was derivated with the help of the sine sum function.

To get more about the Sine function visit:

https://brainly.com/question/10879727

Otras preguntas