Question

prove that sin$€ theta £ is equal to 5pie​

Answer 1

Answer:

Sin

5

π

6

= sin

(

π

−

π

6

)

= sin

π

6

= sin 30 =

1

2

Another way to think about it is to draw the angle in a Unit circle and create the "new" triangle in Quadrant II. teachtogether

Answer 2

Sin

5

π

6

= sin

(

π

−

π

6

)

= sin

π

6

= sin 30 =

1

2

Another way to think about it is to draw the angle in a Unit circle and create the "new" triangle in Quadrant II. teachtogether

teachtogether

Drop a perpendicular to the x-axis and you will have the correct triangle to

From this triangle, you need the opposite leg length, which is

1

2

.

Since the hypotenuse is equal to 1 in the Unit circle, the opposite leg length is the answer for sine. (dividing by 1 is not necessary)

Answer link