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Express 6sin(2x)+5cos(x) in the form Rsin(x+a) (0degrees<x<90degrees)

Expand sin(2x) to 2sin(x)cos(x) so you have 6(2sin(x)cos(x))sec(x). cos(x) and sec(x) cancel out so the expression becomes 12sin(x) + 5cos(x). compare this to the expanded version of Rsin(x+a) which is Rs...

Answered by Jacob R. • Maths tutor

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Solve the simultaneous equations: 1) 3x+5y=14 and 2) -3y+10=x

Multiple the second equation through by 3 so that the x is multiplied by the same number in both equations. -> -9y + 30 = 3x
2) Rearrange the equation so that the
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Answered by Gabrielle S. • Maths tutor
4156 Views

3/5 of a number is 162. Work out the number.

Something multiply 3/5 = 162Think of this something as a piece of cake. Now this cake has been equally sliced into 5 pieces. 3 pieces of the cake is worth 162 (let's give it a value, pound, dollar, or any...

Answered by Han K. • Maths tutor

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equation(1) h = 3t^2 a) find h when t=5 b)find t when h=108

for part AYou would but the t² into brackets , then substitute t=5 to get h=3(5²) using BIDMAS do the 5² = 25 so that h=3(25) so you end up with h=75
for part B fir...

Answered by Danielle N. • Maths tutor

4692 Views

If a curve has equation y = (-8/3)x^3 - 2x^2 + 4x + 18, find the two x coordinates of the stationary points of this curve.

The first step in solving this question is to differentiate equation y with respect to x. To differentiate a given 'x' term in an equation use the following method --> xⁿ becomes nx^(n-1...

Answered by Robyn T. • Maths tutor

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