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Prove that sin(x)+sin(y)=2sin((x+y)/2)cos((x-y)/2)

We know that 1. sin(a+b) = sin(a)cos(b)+sin(b)cos(a) and 2. sin(a-b) = sin(a)cos(b)-sin(b)cos(a) Add equations 1. and 2. sin(a+b)+sin(a-b) = 2sin(a)cos(b)+sin(b)cos(a)-sin(b)cos(a) = 2sin(a)cos(b) Let x=a+b ...
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Answered by Anna V. • Maths tutor
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From your work experience what have you learnt about the realities of being a doctor?

From the work experience that I have undertaken I have learnt more about the day to day realities of life as a doctor. I have learnt that being a doctor requires good communication and team working skills. T...
SM
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What is the effect of the first sentence of "Pride and Prejudice" and how would it change if "must be in want" would be substituted for "must want"?

"It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife." The sentence introduces one of the main themes of the plot, the pursuit of ri...
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What is the significance the paper lantern in 'A Streetcar Named Desire'?

Williams employs plastic theatre as a means of giving physical onstage presence to abstract concepts in order to better clarify for the audience their meaning and significance within 'A Streetcar Named Desir...
GE
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The points A and B have coordinates (3, 4) and (7, 6) respectively. The straight line l passes through A and is perpendicular to AB. Find an equation for l, giving your answer in the form ax + by + c = 0, where a, b and c are integers.

For the line passing through A and B: m = (y2-y1)/(x2-x1) = (-6-4)/(7-3) = -5/2 For the perpendicular line: m = -1/(-5/2) = 2/5 y - y1 = m*(x - x1) >> y - 4 = (2/5)*(x - 3) >> 5y - 20 = 2x - 6 &g...
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Answered by Deji A. • Maths tutor
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