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Question

I f sin invisible function application 2 theta equals cos invisible function application 3 theta blank a n d blank theta is an acute angle, then sin invisible function application theta equals

  1. fraction numerator square root of 5 minus 1 over denominator 4 end fraction  
  2. negative open parentheses fraction numerator square root of 5 minus 1 over denominator 4 end fraction close parentheses  
  3. fraction numerator square root of 5 plus 1 over denominator 4 end fraction  
  4. fraction numerator negative square root of 5 minus 1 over denominator 4 end fraction  

The correct answer is: fraction numerator square root of 5 minus 1 over denominator 4 end fraction


    sin invisible function application 2 theta equals cos invisible function application 3 theta blank rightwards double arrow 2 sin invisible function application theta cos invisible function application theta equals 4 cos to the power of 3 end exponent invisible function application theta minus 3 cos invisible function application theta
    rightwards double arrow 2 sin invisible function application theta equals 4 open parentheses negative sin to the power of 2 end exponent invisible function application theta close parentheses minus 3 rightwards double arrow 4 sin to the power of 2 end exponent invisible function application theta plus 2 sin invisible function application theta minus 1 equals 0
    rightwards double arrow sin invisible function application theta equals fraction numerator square root of 5 minus 1 over denominator 4 end fraction

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