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What are the trigonometric functions?

The main three trigonometric functions are the tangent (tan), sine (sin) and cosine (cos) functions. The tangent, sine and cosine of an angle is defined in terms of the ratios of the length of sides of a rig...
JL
Answered by Julu L. • Maths tutor
6415 Views

Solve the equation |3x + 4| = |3x - 11|

Here we have an equation involving absolute values. As a general rule |a| = +a and |a| = -a. We can apply that to our RHS. In the first case we get that 3x + 4 = 3x - 11, however after we subtract 3x from bo...
VB
Answered by Viktoria B. • Maths tutor
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Find the solutions to z^2 = i

Here z is a complex number, and therefore, z = a + b i. Thus, our equation becomes (a + b i)^2 = i. Expanding the brackets we get a^2 + 2 a b i + (b^2) (i^2) = i. Since i is the square root of -1, i^2 = the ...
VB
Answered by Viktoria B. • Maths tutor
37474 Views

How would I go about drawing a graph if i had no idea how to start?

Firstly you could work out the x intercept by putting y=0 in to the function of the graph and then similarly find out the y intercept by putting x=0 into the function. After this you could find the turning p...
AF
Answered by Annie F. • Maths tutor
4593 Views

There are n sweets in a bag, 6 orange, rest yellow. H takes two, one after another, and eats them. Probability both are orange is 1/3. Show n^2 - n - 90 = 0.

First, we start with what we do know and this should lead us to the answer with steps inbetween. So the amount of yellow sweets to start is (n-6) but we want to focus on the orange sweets. This question is a...
NF
Answered by Nicole F. • Maths tutor
3859 Views