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Petrovcic2x

Petrovcic2x

Answered question

2022-06-20

Find the value of ( ( tan 2 7 π 24 tan 2 π 24 ) : ( 1 tan 2 7 π 24 tan 2 π 24 ) ) 2

Answer & Explanation

last99erib

last99erib

Beginner2022-06-21Added 19 answers

Hint: A 2 B 2 = ( A B ) ( A + B )
Further hint:
Use the hint to rewrite the expression as ( tan ( 7 π / 24 ) tan ( π / 24 ) 1 + tan ( 7 π / 24 ) tan ( π / 24 ) tan ( 7 π / 24 ) + tan ( π / 24 ) 1 tan ( 7 π / 24 ) tan ( π / 24 ) ) 2
Answer:
The addition formula for tan then gives you the answer:
( tan 6 π 24 tan 8 π 24 ) 2 = ( tan π 4 tan π 3 ) 2 = ( 1 3 ) 2 = 3

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