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Express 3sin(2x) + 5cos(2x) in the form Rsin(2x+a), R>0 0<a<pi/2

Start by expanding out Rsin(2x+a) using the addition formula for sin, sin(A+B) = sin(A)cos(B)+cos(A)sin(B). Substituting 2x = A and a= b, we get that Rsin(2x+a) = R(sin(2x)cos(a) + cos(2x)sin(a)) = Rcos(a...

Answered by Michael F. • Maths tutor

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Explain how the theme of love is presented in Shakespeare's "Much Ado About Nothing"

This is an essay question that could come up in A Level based on the syllabus' I have looked at; there is not time or space to write out the full essay here, so I have gone for three key bullet points I w...

Answered by Nathan T. • English tutor

2741 Views

What was the greater threat to European peace in the 1930s: the German invasion of the Rhineland or the Nazi-Soviet Pact?

The 1936 German invasion of the Rhineland constituted a serious threat to European peace. It marked the beginning of Hitler's reversal of the Treaty of Versailles whilst completely disregarding the Locarn...

Answered by Monique N. • History tutor

2115 Views

Harry drives from Exeter to London in 4 hours at an average speed of 70km/h. Ron drives from Exeter to London in 5 hours. (a) Assuming Ron took the same route as Harry, calculate Ron's average speed.

The distance from Exeter to London can be calculated using the information about Harry's journey. Average speed = Distance/Time so Distance = Average speed x Time. This means that the distance from Exeter...

Answered by James F. • Maths tutor

2553 Views