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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...

MF
Answered by Michael F. Maths tutor
8846 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...

JF
Answered by James F. Maths tutor
2663 Views

Write down the value of 169^1/2 (one hundred and sixty nine to the power of a half)

Answer = 13
"to the power of 1/2" is the same as saying "square root"

RC
Answered by Rasila C. Maths tutor
3453 Views

Solve the simultaneous equations: 2 + 5y = 3x, x + y = 6

Solve the simultaneous equations: 1. 2 + 5y = 3x2. x + y = 6step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitu...

PW
Answered by Phoebe W. Maths tutor
1950 Views

Solve the simultaneous equations: y=x+1, x^2+y^2=13

We already have an expression for y, so we can substitute this in:x2+(x+1)2=x2+(x+1)(x+1) = x2+x2+2x+1=2x2+2x+1 and hence 2x2+2...

LC
Answered by Lauren C. Maths tutor
6568 Views

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