Maths-
General
Easy

Question

The value of  tan invisible function application open curly brackets cos to the power of negative 1 end exponent invisible function application open parentheses negative 2 over 7 close parentheses minus pi over 2 close curly brackets is

  1. fraction numerator 2 over denominator 3 square root of 5 end fraction
  2. 2 over 3
  3. fraction numerator 1 over denominator square root of 5 end fraction
  4. fraction numerator 4 over denominator square root of 5 end fraction

The correct answer is: fraction numerator 2 over denominator 3 square root of 5 end fraction


    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell tan invisible function application open curly brackets cos to the power of negative 1 end exponent invisible function application open parentheses negative 2 over 7 close parentheses minus pi over 2 close curly brackets equals tan invisible function application open curly brackets pi minus cos to the power of negative 1 end exponent invisible function application open parentheses 2 over 7 close parentheses minus pi over 2 close curly brackets end cell row cell equals tan invisible function application open curly brackets pi over 2 minus cos to the power of negative 1 end exponent invisible function application open parentheses 2 over 7 close parentheses close curly brackets end cell row cell equals tan invisible function application open curly brackets sin to the power of negative 1 end exponent invisible function application 2 over 7 close curly brackets end cell row cell equals tan invisible function application open curly brackets tan to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 2 over denominator 3 square root of 5 end fraction close parentheses close curly brackets equals fraction numerator 2 over denominator 3 square root of 5 end fraction end cell end table

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