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Express Cosx-3Sinx in form Rcos(x+a) and show that cosx-3sinx=4 has no solution MEI OCR June 2016 C4

Cosx-3sinx =R(CosxCosa-SinxSina) 1=Rcosa R^2=1^2+3^2 r=(10)^0.5=(approx)3.16 a=1.249 3.16Cos(x+1.249)=4 has no solution as 4<3.16 so as cos(theta) has maximum value of 1, there are no solutions
JP
Answered by Jakub P. • Maths tutor
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How do you find the area of a semi circle with a radius of 7cm?

You should remember that a semi circle is the same as half a circle, therefore the area must be half as well! The formula for the area of a circle is pi r^2. If we use this, the area of our circle = pi x (7^...
CJ
Answered by Cindiya J. • Maths tutor
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Find CO-Ordinates of intersection of 2x+3y=12 and y=7-3x

Picture of Answer available on request
JP
Answered by Jakub P. • Maths tutor
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Differentiate the function f(x) = (x^2 - 1)^3

Using the chain rule: f '(x) = (2x) (3) (x^2 - 1)^2 = 6x(x^2 - 1)^2
JB
Answered by James B. • Maths tutor
3731 Views

How should I best prepare for my GCSE Italian Oral?

The most important thing to do is to practise. Practise speaking in Italian to a native Italian speaker if possible, if not friend, your Mum, your mirror are all also useful. Websites like duolinguo allow yo...
HI
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