SOLUTION: With 0 < a < b, the figure below shows two angles α and β drawn in the unit circle so that sin(α) = a and sin(β) = -b. Express sin(α + β) in terms of a and b.

Algebra ->  Trigonometry-basics -> SOLUTION: With 0 < a < b, the figure below shows two angles α and β drawn in the unit circle so that sin(α) = a and sin(β) = -b. Express sin(α + β) in terms of a and b.      Log On


   



Question 1194583: With 0 < a < b, the figure below shows two angles α and β drawn in the unit circle so that sin(α) = a and sin(β) = -b. Express sin(α + β) in terms of a and b.
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
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With 0 < a < b, the figure below shows two angles α and β drawn in the unit circle
so that sin(α) = a and sin(β) = -b. Express sin(α + β) in terms of a and b.
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As it is posted in your message,  the problem's formulation is  INCOMPLETE.

To be complete,  the wording formulation  MUST  SAY  EXPLICITLY,  in which of four quadrants
each of the angles " α " and " β " is located.


It is a necessary condition for the problem to be formulated properly:
without it,  the problem  CAN  NOT  be solved correctly.