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Rufina [12.5K]
2 years ago
6

Given: Cosine (x minus y)

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

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

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What is the solution of the system? y=145-5x and 0.1+0.5x=14.5
Jobisdone [24]
145−5x(0.1)+0.5=14.5
Step 1: Simplify both sides of the equation.
145−5x(0.1)+0.5=14.5
145+−0.5x+0.5=14.5
(−0.5x)+(145+0.5)=14.5(Combine Like Terms)
−0.5x+145.5=14.5
−0.5x+145.5=14.5
Step 2: Subtract 145.5 from both sides.
−0.5x+145.5−145.5=14.5−145.5
−0.5x=−131
Step 3: Divide both sides by -0.5.
−0.5x
−0.5
=
−131
−0.5
x=262
Answer:
x=262

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