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Prove the trigonometric identity tan^2(x)+1=sec^2(x)

 We can start with the identity sin2(x)+cos2(x)=1 If we divide through the equation by cos2(x), we get: sin2(x)/cos2(x) + cos2(x)/cos...

CW
Answered by Charlotte W. Maths tutor
17650 Views

Find the equation of the tangent to the curve y = 2x^2 + x - 1 at the point where x = 1.

To get the required tangent equation we need its gradient and the coordinates of a point it passes through. We can then substitute it into the formula y - y1 = m(x - x1). 1. ...

BT
Answered by Beth T. Maths tutor
11135 Views

When do you know to use integration by parts?

You use integration by parts if there's more than one function of x. For example; to integrate xsin(x) you'd use integration by parts as this is two functions of x. The formula to remember is I(udv) =...

NL
Answered by Natasha L. Maths tutor
3801 Views

Rearrange to make p the subject. C + 5 p = a ( C – p )

C+5p = a (c-p)

C+5p = ac-ap

5p+ap=ac-c

p(5+a) = c(a-1)

p=(c(a-1))/(5+a)

SM
Answered by Santiago M. Maths tutor
4092 Views

x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99

r=0.0.x.

r=0.0x0x0x0x....

100r=x.0x0x0x     (1)

10,000r=x0x.0x0x0x      (2)

(2) - (1):  9,900r=x00

EE
Answered by Ellie E. Maths tutor
12972 Views

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