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Solve the equation (2 cos x) = (sin 2 x) , for 0 ≤ x ≤ 3π .

cos x = 0, sin x = 1, solved using trigonometric identities. 3(pi) means 3/2 times round a the circle, therefore using graphs answer is pi/2, 3(pi/2), 5(pi/2)

Answered by Dhruv C. • Maths tutor

6387 Views

Calculate 8^0

1, any number to the power of 0 is equal to 1

Answered by Dhruv C. • Maths tutor

4394 Views

Solve the simultaneous equations 5x+2y=11 and x-y=-2.

Simultaneous Equations are equations involving 2 or more unknowns that are to have the same value in each equation. The aim is to eliminate all except one unknown which will then allow us to find the v...

Answered by Peter H. • Maths tutor

10060 Views

A curve has equation y = 6ln(x) + x^2 -8x + 3. Find the exact values of the stationary points.

When thinking about stationary points, it is important to remember that these points happen when the gradient of the curve is 0 (-> dy/dx = 0), or if you prefer, when the rate of change of a graph is 0...

Answered by Christopher P. • Maths tutor

6556 Views

Factorise z^3+1 into a linear and quadratic factor. Let y=(1+i√3)/2. Show that y is a cube root of -1. Show that y^2=y-1. Find the value of (1-y)^6.

To factorise z³+1 into a linear and quadratic factor, it is best to try the factor theorem first. We set the equation to zero: z³+1=0.We need to find a value of z such that the above...

Answered by Henry L. • Maths tutor

24191 Views