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General
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Question

If  tan invisible function application theta equals square root of a over b end rootwhere a, b are positive reals then the value of space sin invisible function application theta sec 7 theta plus cos invisible function application theta cosec to the power of blank 7 theta is -

  1. fraction numerator left parenthesis a plus b right parenthesis cubed open parentheses a to the power of 4 plus b to the power of 4 close parentheses over denominator left parenthesis a b right parenthesis to the power of 7 divided by 2 end exponent end fraction    
  2. fraction numerator left parenthesis a plus b right parenthesis cubed open parentheses a to the power of 4 minus b to the power of 4 close parentheses over denominator left parenthesis a b right parenthesis to the power of 7 divided by 2 end exponent end fraction    
  3. fraction numerator left parenthesis a plus b right parenthesis cubed open parentheses b to the power of 4 minus a to the power of 4 close parentheses over denominator left parenthesis a b right parenthesis to the power of 7 divided by 2 end exponent end fraction    
  4. negative fraction numerator left parenthesis a plus b right parenthesis cubed open parentheses a to the power of 4 plus b to the power of 4 close parentheses over denominator left parenthesis a b right parenthesis to the power of 7 divided by 2 end exponent end fraction    

The correct answer is: fraction numerator left parenthesis a plus b right parenthesis cubed open parentheses a to the power of 4 plus b to the power of 4 close parentheses over denominator left parenthesis a b right parenthesis to the power of 7 divided by 2 end exponent end fraction


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