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It is given that sin(x) = 1/2. Find the value of sec(x)

x = 30ºcos(30) = √3/2sec(30) = 2/√3 or 2√3/3
AH
Answered by Alex H. • Maths tutor
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Show that cosh(x+y) = cosh(x)cosh(y) + sinh(x)sinh(y)

RHS: cosh(x)cosh(y) + sinh(x)sinh(y) = 1/4(e^x + e^-x)(e^y + e^-y) + 1/4(e^x - e^-x)(e^y - e^-y) = 1/4(e^x.e^y + e^x.e^-y + e^-x.e^y + e^-x.e^-y + e^x.e^y - e^x.e^-y - e^-x.e^y + e^-x.e^-y) = 1/4(2e^x.e^y + ...
AH
Answered by Alex H. • Maths tutor
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A curve has equation y = (12x^1/2)-x^3/2

y = 12x 1/2 - x 3/2 First take the 1/2 power and multiply by the integer in front of the x (so 12 x 1/2 = 6), then minus 1 from the power (1/2 - 1 = -1/2) and replace the power above the x with -1/2. So that...
AB
Answered by Amay B. • Maths tutor
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Find the stationary point of the function f(x) = x^2 +2x + 5

We can find stationary points of functions by using differentiation, we start this by assessing each term individually, we start with the first term x 2 , we first start by taking the power term (2 in this c...
HO
Answered by Henry O. • Maths tutor
6058 Views

A piggy bank contains 200 coins, 1/4 of these are 1p coins, 100 of these are 5p coins and the rest are 10p coins, how much is the piggy bank worth in £s?

The piggy bank contains a total of 200 coins, 1/4 of this is 50, this means the piggy bank must contain 50 1p coins, we can convert this to £s by dividing by 100, which gives us £0.01 which we can times by 5...
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Answered by Henry O. • Maths tutor
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