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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...

AV
Answered by Anna V. Maths tutor
36457 Views

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...

SM
1722 Views

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 pu...

AD
3080 Views

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 De...

GE
41549 Views

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)  >>...

DA
Answered by Deji A. Maths tutor
12388 Views

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