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Given that sin(x) + cos(x) = 2/3, find cos(4x)

It is not clear what to do when starting, but we realise that by making both sides to the power of two, will lead to have an expression containing sin^2(x) + cos^2(x), which is equal to one (which will proba...
FR
Answered by Felipe R. • Maths tutor
4830 Views

Find the area enclosed between the curves y = f(x) and y = g(x)

Don't forget, in order to find the area under a curve y=f(x) between two values x=a and x=b we integrate f(x) between a and b.Thus to find the area enclosed between two curves y=f(x) and y=g(x) we simply nee...
MG
Answered by Matthew G. • Maths tutor
6239 Views

Explain how a decrease in interest rates affects real GDP and inflation. When may a decrease in the interest rate not affect real GDP?

When interest rates decrease, this decreases the cost of borrowing and reduces the reward for saving. As a result, there is a higher incentive for firms and individuals to borrow/spend and a lower incentive ...
IB
Answered by India B. • Economics tutor
18302 Views

Solve the two simultaneous equations X2 +2Y2= 18 and X - Y = 3

1) X 2 +2Y 2 = 182) X - Y = 3 Rearrange 2) in the form X=3-Y then substitute in to 1); (3-y) 2 +2Y 2 =18, this is your new equation 39+3Y+3Y+Y 2 +2Y 2 =183) 9+6y+3Y 2 = 18Divide equation 3) by 33 +2Y+Y 2 =6S...
RC
Answered by Rebecca C. • Maths tutor
4906 Views

at a shop in the US tax is added onto the price of an item at the till. this shop adds 5.7% of the items value to the total cost. if you buy a ball priced as $15, how much will you have to pay ?

0.057 x 15 = 0.855 total = 15 + 0.988 = 15.855
MB
Answered by Merlin B. • Maths tutor
3308 Views