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45 votes
Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56

Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D-example-1
User Himanshu Mahajan
by
2.6k points

1 Answer

15 votes
15 votes

Answer:

A

Explanation:

Note the expansion

tan(a - b) =
(tana-tanb)/(1+tanatanb)

We are given the right side of the expansion , then left side is

tan(
(\pi )/(7) -
(\pi )/(8) )

= tan(
(8\pi -7\pi )/(56) )

= tan (
(\pi )/(56) ) → A

User Tomas Lukac
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3.1k points