1 of 8 0-day streak

Solve circular equations over finite domains

Question 1 of 8

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Find the solutions of this equation

3\cos\left(x\right)+\frac{1}{2}=-1

The domain is \(\left(180^{\circ},540^{\circ}]\), and x is measured in degrees

Give exact values

(a)1 mark

Which first algebraic method matches this equation?

Square the whole equation before finding the circular-function value

Read the circular-function value after it is isolated

Rearrange the equation until the circular function is isolated

(b)1 mark

How many solutions remain after the domain is applied?

There are two solutions in the stated interval

There are at least three solutions in the stated interval

There is one solution in the stated interval

There are no solutions in the stated interval

Enter the solutions in increasing order as each solution in degrees

\(x_1\) \(x_2\)