SOLUTION: Without using tables find the values of (a) (tan69° + tan66°)/(1 - tan69°tan66°) (b) (sin45°cos15° + sin15°cos45°)/(sin45°cos15° - sin15°cos45°)

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Question 1132131: Without using tables find the values of
(a) (tan69° + tan66°)/(1 - tan69°tan66°)
(b) (sin45°cos15° + sin15°cos45°)/(sin45°cos15° - sin15°cos45°)
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
(a)  (tan69° + tan66°)/(1 - tan69°tan66°) = 


             apply the formula  tan(a+b) = 


     = tan(69° + 66°) = tan(135°) = tan(180° + 45°) = 1.     ANSWER




(b)  (sin45°cos15° + sin15°cos45°)/(sin45°cos15° - sin15°cos45°) = 


             apply the formula  sin(a+b) = sin(a)*cos(b) + cos(a)*sin(b)  to the numerator;

             apply the formula  sin(a-b) = sin(a)*cos(b) - cos(a)*sin(b)  to the denominator.


      =  =  =  = .     ANSWER

Solved.


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