Let 0< <1, = 13 and -1(1- )+ -1(1- )= 4. Then 6( + ) is equal to :
(2) 7
Taking the tangent of both sides:
(1 - ) + (1 - )1 - (1 - )(1 - ) = 4 = 1
2 - - = 1 - (1 - - + ) = + -
2( + ) = 2 +
= 13 , = 13, so
2( + ) = 73 6( + ) = 7
Check: + = 76 and = 13 give \ , \ = \ 23, 12 \; 1 - and 1 - are positive with product less than 1, so the two angles really add up to 4
Answer: (2)
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