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State the trigonometric identities for sin2x, cos2x and tan2x

sin2x = 2sinxcosx cos2x = cos^2(x) - sin^2(x) tan2x = (2tanx)/(1-tan^2(x))

Answered by James S. • Maths tutor

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Find the coordinates of the point of intersection of the lines y = 5x - 2 and x + 3y = 8.

substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to...

Answered by Anand T. • Maths tutor

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Find dy/dx of the equation y=x^2 ln⁡(2x^2+1).

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...

Answered by Cameron L. • Maths tutor

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When integrating, why do we add a constant to the resulting equation?

The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function:

f(x) = 2x^2 + 1 And we differentiate: f...

Answered by Tom C. • Maths tutor

3947 Views

If y = 2^x, solve the equation 8(4^x) + 9(2^x) + 1 = 0 in terms of y.

We first see that we are asked to solve the equation in terms of y. We can see that y = 2^x, and there is also a 2^x in the equation, meaning we can instantly change that to y. However, there is also a 4^...

Answered by Satveer R. • Maths tutor

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