The cost of hiring a games console has a one-off cost of £9 plus 50p every day.
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The square root of 729 is in fact 27, as it is a perfect square, but this is not well known, so we can figure it out like this:
What goes into 729 that are perfect squares? 81 and 9:
Take the square root of 81 (9) and the square root of 9 (3). Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)
Now, just multiply:
ANSWER
EXPLANATION
We want to solve
where
We reciprocate both sides of this trigonometric equation to obtain:
We take arctangent of both sides to get;
This is the principal solution.
The tangent ratio is also positive in the third quadrant.
The solution in the third quadrant is