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(C3) Show that 4csc^2(x) - cot^2(x) = k can be expressed as sec^2(x) = (k-1)/(k-4) where k != 4

The student can answer this in several ways. One using the simple, known identities csc= 1/sin, cot=1/tan, sec=1/cos, tan=sin/cos, sin^2 + cos^2 = 1 and basic algebra is the following:
4csc^2 - cot^2...

Answered by Fearghus H. • Maths tutor

3854 Views

Describe mitosis as part of the cell cycle

Define mitosis: a process of cell division where a single cell splits into two identical daughter cellsWhen does it occur? When the body requires more cells for growth.The overall process has 5 steps.Inte...

Answered by Chloe T. • Biology tutor

4533 Views

The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.

Now: In 12 years:A:B A:B1:2x:2x x+12:2x+12 = 3:5
x+12 = 2x+123 55(x+12) = 3(2x+12)5x + 60 = 6x + 36x = 24
A:B Adam = 24, Bob = 48x:2x24:2(24)24:48

Answered by Aaron S. • Maths tutor

4854 Views

Find the binomial expansion of (-8+4x)^(2/3) up to and including the term in x^2.

The formula booklet is useful for this type of question, but only once we've rearranged the expression into the correct form. The formula booklet expression is: (1 + z)^n = 1 + nz + 0.5n*(n-1)

Answered by David M. • Maths tutor

4351 Views

How do the colleges work at Cambridge / Oxford, and how should I decide which college to apply to?

Both Cambridge and Oxford are made up of a number of distinct colleges. A simple comparison would be to think of the fictional houses of Hogwarts.Functionally, most students live within college accommodat...

Answered by David M. • Oxbridge Preparation tutor

1922 Views