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Write down the value of 169^1/2 (one hundred and sixty nine to the power of a half)

Answer = 13 "to the power of 1/2" is the same as saying "square root"
RC
Answered by Rasila C. • Maths tutor
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Solve the simultaneous equations: 2 + 5y = 3x, x + y = 6

Solve the simultaneous equations: 1. 2 + 5y = 3x2. x + y = 6 step 1 - rearrange equation 2 to make x/y the subject how? example: subtract y from both sidesx = 6 - y step 2 - substitute x = 6 - y into equatio...
PW
Answered by Phoebe W. • Maths tutor
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Solve the simultaneous equations: y=x+1, x^2+y^2=13

We already have an expression for y, so we can substitute this in:x 2 +(x+1) 2 =x 2 +(x+1)(x+1) = x 2 +x 2 +2x+1=2x 2 +2x+1 and hence 2x 2 +2x+1=13 and so 2x 2 +2x-12=0Now look for common factors. Here we ca...
LC
Answered by Lauren C. • Maths tutor
7825 Views

Using trigonometric identities, show that (cos(x) + sin(x))^2=1+sin(2x)

First being by expanding the brackets of the formula on the left: (cos(x) + sin(x)) 2 = (cos(x) + sin(x))*(cos(x) + sin(x)) = cos 2 (x)+2cos(x)sin(x)+sin 2 (x).Now we must use our understanding of trigonomet...
Answered by • Maths tutor
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differentiate tanx

tanx = sinx/cosxapply the quotient rule use the identity cos^x + sin^x = 1 to simplify
AM
Answered by ayaz m. • Maths tutor
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