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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...

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

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...

We know that y=sinx is the sinusoidal graph that starts at the origin, with maxima at x = pi/2 with a value of 1, and a minima at x = 3pi/2 with a value of -1.

The 4x inside the bracket means ...

f(x) is an increasing function when its gradient is positive. To find the the gradient of the the function we must differentiate it:d/dx f(x) = 3x² - 9. To differentiate we multiply the exponen...