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What does it mean to solve an equation for x?

Answered by Jerome W. • Maths tutor

2669 Views

The points {3,3,0}, {0,6,3} and {6,6,7} all lie on the same plane. Find the Cartesian equation of the plane.

A Cartesian equation is in the form ax + by + cz = d. The a, b and c constants are given by the normal vector to the plane so we must find this first. You find the two direction vectors of the plane by su...

Answered by Alejandro G. • Maths tutor

1123 Views

How do I find the missing length using trigonometry?

First of all, label the sides in the right-angled triangle. Then, write out SOHCAHTOA, using three small triangles. Next, tick off the letters of the sides that either have a number, or the letter x, writ...

Answered by Patrick L. • Maths tutor

3118 Views

Show that the derivative of tan(x) is sec^2(x), where sec(x) is defined as 1/cos(x). [Hint: think of tan(x) as a quotient of two related functions and apply the appropriate identity]

tan(x) is defined as sin(x)/cos(x) For a function which can be written as f(x) = u(x)/v(x) the quotient rule can be appliedThe quotient rule states f ' (x) = (u'v-v'u)/v^2 Applying this to the formula for...

Answered by Oliver C. • Maths tutor

2778 Views