Question

find general solution of 2 sin theta + 1 = 0

Answer 1

Answer:

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x

=

11

π

6

,

7

π

6

Explanation:

To solve this equation, go about it as you would any other equation. Get the sin x all by itself.

2

sin

x

+

1

=

0

2

sin

x

=

−

1

sin

x

=

−

1

2

Then, use the unit circle to find all radian values which have a y-coordinate of

−

1

2

, since sin is the

y

(

−

√

3

2

,

−

1

2

)

and

(

√

3

2

,

−

1

2

)

have

y

values (or

sin

values) of

−

1

2

.

The radian correspondents of these coordinates are

7

π

6

and

11

π

6