Question

tan(-585) simplify it

Answer 1

here is your ans hope it help

Answer 2

Answer:

- 1

Step-by-step explanation:

Given:- tan( - 585 )

To Find:- Value of tan( -585 ).

Solution:-

tan( - 585° )

= - tan( 585° )                 [∵ tan( -A ) = -tan A]

= - tan( 4π - 135° )           [∵ tan( 2π - A ) = - tan A]

= - ( - tan( 135° ) )

= - ( - tan( 90° + 45° ) )  

= - ( - ( - cot 45° ) )           [∵ tan (90° + A ) = - cot A ]

= - ( - ( - 1 ) )                     [∵ cot 45° = 1]

= - ( 1 )

= - 1

Therefore, the value of tan( - 585 ) = - 1.

#SPJ3