Given: Cosine (x minus y)
1 answer:
The required steps that complete the proof are:
Step 1: Cofunction Identity
Step 5: Sine Difference Identity
Step 6: Cofunction Identity
Step 7: Cosine Function Is Even, Sine Function Is Odd
<h3>Trigonometry identity</h3>Given the cosine function expressed as:
- cos(x - y)
The first step is to apply the cofunction identity as shown:
- Step 1: Cofunction Identity
cos(90 - x) = sin x
cos(x - y) = sin (90-(x-y))
- Step 5: Sine Difference Identity
For the fifth step, you will apply the sine difference identity.
- Step 6: Cofunction Identity
To get the sixth step, you will apply the Cofunction Identity on the result in the fifth step.
The final step 7 will be
- Step 7: Cosine Function Is Even, Sine Function Is Odd
Learn more on trigonometry identity here: brainly.com/question/24496175
You might be interested in
Answer:
Step-by-step explanation:
I've enclosed a graph to show you that there is one solution.
-4x + 3y = - 12
<u>- 2x + 3y = - 18</u><em><u> </u></em><em> </em>Subtract
-2x = 6 Divide by - 2
-2x/-2 = 6/-2
x = - 3
- 4x + 3y = - 12
-4(-3) + 3y = - 12
12 + 3y = - 12
3y = - 12 - 12
3y = - 24
3y/3 = - 24/3
y = - 8
Which is exactly what the graph shows.
You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.
It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.
The y's are the same so you are 1/2 way home in saying what you did.
The x's are different so that means you have at least 1 solution.
