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The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
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Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
14 kwi 2015 · Use the trig conversion table and the trig unit circle to solve sin x = 1/2. Trig table gives sin x = 1/2 = sin (pi/6) --> x_1 = pi/6. Trig circle gives another arc x_2 = 5pi/6 that has the same sin value (1/2).
An easy way of observing how many expected solutions we should get is by sketching our function \sin(x) for 0\leq x \leq 2\pi along with x=-\frac{1}{2}, as follows: We see that there are two ... How do you solve \displaystyle{\sin{\theta}}=−\frac{{1}}{{2}} ?
Trigonometry. Trigonometry is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths.
