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Nilai maksimum dari fungsi f ( x ) = ( sin 2 1 ​ x + cos 2 1 ​ x ) 2 − 2 cos 2 2 1 ​ x adalah

Nilai maksimum dari fungsi

  

adalah

  1. begin mathsize 12px style square root of 2 end style  

  2. begin mathsize 12px style square root of 2 end style  

  3. begin mathsize 12px style 1 half square root of 2 end style  

  4. begin mathsize 12px style 1 half square root of 2 end style  

  5. 0

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Bagi kedua ruas dengan cos x 1 + tan x = 0 tan x = - 1 Didapat atau Maka nilai maksimum f(x) adalah

size 12px f open parentheses size 12px x close parentheses size 12px equals open parentheses size 12px sin size 12px 1 over size 12px 2 size 12px x size 12px plus size 12px cos size 12px 1 over size 12px 2 size 12px x close parentheses to the power of size 12px 2 size 12px minus size 12px 2 size 12px space size 12px cos to the power of size 12px 2 size 12px 1 over size 12px 2 size 12px x size 12px f open parentheses size 12px x close parentheses size 12px equals size 12px sin to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px plus size 12px 2 size 12px space size 12px sin open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px cos open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px plus size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px minus size 12px 2 size 12px space size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px f open parentheses size 12px x close parentheses size 12px equals size 12px sin to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px plus size 12px 2 size 12px space size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px plus size 12px 2 size 12px space size 12px sin open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px cos open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px minus size 12px 2 size 12px space size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px f open parentheses size 12px x close parentheses size 12px equals size 12px 1 size 12px plus size 12px sin size 12px space size 12px x size 12px minus size 12px 2 size 12px space size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px f open parentheses size 12px x close parentheses size 12px equals size 12px sin size 12px space size 12px x size 12px minus size 12px 2 size 12px space size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px plus size 12px 1 size 12px f open parentheses size 12px x close parentheses size 12px equals size 12px sin size 12px space size 12px x size 12px minus open parentheses size 12px 2 size 12px space size 12px cos to the power of size 12px 2 open parentheses size 12px 1 over size 12px 2 size 12px x close parentheses size 12px minus size 12px 1 close parentheses size 12px f open parentheses size 12px x close parentheses size 12px equals size 12px sin size 12px space size 12px x size 12px minus size 12px cos size 12px space size 12px x size 12px f subscript size 12px m size 12px a size 12px k size 12px s end subscript size 12px rightwards double arrow size 12px f size 12px apostrophe size 12px equals size 12px 0 size 12px cos size 12px space size 12px x size 12px plus size 12px sin size 12px space size 12px x size 12px equals size 12px 0  

Bagi kedua ruas dengan cos x

1 + tan x = 0

tan x = - 1

Didapat begin mathsize 12px style x equals 3 over 4 straight pi end style atau Error converting from MathML to accessible text. 

Error converting from MathML to accessible text.  

Maka nilai maksimum f(x) adalah begin mathsize 12px style square root of 2 end style 

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