Search our library of Maths questions

Top answers

Maths

All levels

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)) = cos²(x)+2cos(x)sin(x)+sin²(x).Now we must use...

Answered by • Maths tutor

4952 Views

differentiate tanx

tanx = sinx/cosxapply the quotient rule use the identity cos^x + sin^x = 1 to simplify

Answered by ayaz m. • Maths tutor

3537 Views

Using a method that is not factorisation, solve the equation (x^2) + 3x -4 = 0. Hence, sketch the curve produced by the equation

One method that could be used to solve the equation is using the quadratic formula given by:x = ( -b ± (b² - 4ac)^0.5) / 2a where ax² + bx + c = 0Substituting our values in...

Answered by Joseph W. • Maths tutor

2557 Views

Complete the square of the equation below.

Q. Complete the square : x²+ 4x - 12A. Completing the square is putting the given equation into the form (x + a) ² + bFirst, a = the coefficient of x 2so in this case a = ...

Answered by Victoria Y. • Maths tutor

2682 Views

If the quadratic equation kx^2+kx+1=0 has no real roots, what values of k are possible?

The solutions to quadratic equations, which are of the form ax^2+bx+c=0 with a≠0, are given by the Quadratic Formula: x= [-b+-sqrt(b^2-4ac)]/(2a). However, all real numbers, whether negative or not, squar...

Answered by • Maths tutor

10821 Views