How to simplify tan (-5 pi/6) - cot (7 pi/2)?

inhaltynuaddyh4b

inhaltynuaddyh4b

Answered question

2023-02-10

How to simplify tan ( - 5 π 6 ) - cot ( 7 π 2 ) ?

Answer & Explanation

Dale Zuniga

Dale Zuniga

Beginner2023-02-11Added 6 answers

Solution: tan (-5pi)/6 = tan ( π 6 - 6 π 6 ) = tan ( π 6 - π ) = tan ( π 6 ) = = 3 3 .
cot ( 7 π 2 ) = cot ( 3 π 2 + 2 π ) = cot ( 3 π 2 ) = 0 , then
tan ( - 5 π 6 ) - cot ( 7 π 2 ) = 3 - 0 = 3 3

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