Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. (tan(41)-tan(11))/(1+tan(41)\tan(11))

Wevybrearttexcl

Wevybrearttexcl

Answered question

2022-09-27

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number.
tan ( 41 ) tan ( 11 ) 1 + tan ( 41 ) tan ( 11 )

Answer & Explanation

Ruben Horn

Ruben Horn

Beginner2022-09-28Added 7 answers

Given expression
tan ( 41 ) tan ( 11 ) 1 + tan ( 41 ) tan ( 11 )
By the trigonometric identity
tan ( x y ) = tan ( x ) tan ( y ) 1 + tan ( x ) tan ( y ) x = 41  and  y = 11 tan ( 41 ) tan ( 11 ) 1 + tan ( 41 ) tan ( 11 ) = tan ( 41 11 ) = tan ( 30 ) = 0.57735

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