Question

A+c=2b cosC-cosA/sinA-sinC​

Answer 1

Answer:

hope this answer helped you

Step-by-step explanation:

Since A+C=2B

(A+C)/2=2B/2=B

tan((A+C)/2)=tanB

Answer 2

Answer:

The final answer is

tanB

Step-by-step explanation:

To find the solution need the formulas of the trignomatery.

Given: A+c=2b cosC-cosA/sinA-sinC​

Find: Need to find the compact value of the provided equation.

Calculation:

A+C=2B

So, putting this value in the equation:

=-(cos A – cos C)/(sin A – sin C)

Then makes the expanded form of the provided equation:

=-[-2 sin(A + C)/2 sin(A – C)/2]/ [2 cos(A + C)/2 sin(A – C)/2]

After the divide the equation will be:

= [sin(A + C)/2]/ [cos(A + C)/2]

As earlier mentioned A+C=2B, So put this value in the equation:

= sin(2B/2)/ cos(2B/2)

After the divide the equation will be:

= sin B/cos B

= tan B

So then the final answer is tan B

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