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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
2727 Views

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
5802 Views

A curve has equation y = (12x^1/2)-x^3/2

y = 12x1/2 - x3/2
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 ab...

AB
Answered by Amay B. Maths tutor
5348 Views

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 x2, we first start by taking the power term ...

HO
Answered by Henry O. Maths tutor
5382 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 b...

HO
Answered by Henry O. Maths tutor
2993 Views

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