Question

WILL GIVE A MEDAL AND WILL FAN!
What are the measures of four angles in standard position that have a sine of .5?

PLEASE EXPLAIN TOO!!!

Answer 1

HI!!

Answer 2

are you working with degrees or radians?

Answer 3

degree i thinkk

Answer 4

ok then one answer is \(30^\circ\) because
\[\sin(30^\circ)=\frac{1}{2}\]

Answer 5

From your trigonometric table of standard 0 to \[90\]
\[\sin(30)=0.5\]
So the first angle is pi/6
find the second angle using the formula
\[\sin(180-x)=\sin(x)\]

Answer 6

It says 4 angles i know two of them are 150 and 30

Answer 7

what are the other two?????

Answer 8

then keep adding 360

Answer 9

Can you explain how you found the answers?

Answer 10

mathematically

Answer 11

you can draw triangles

Answer 12

with the unit circle

Answer 13

are you familiar with the definitions of sin, cos, and tangent?

Answer 14

yes

Answer 15

ok lets draw a unit circle, mean that the radius is 1

Answer 16

you want me to draw it?

Answer 17

sure

Answer 18

use the circle tool though

Answer 19

ok thats good but lets start with just one triangle in quadrant 1

Answer 20

draw same thing but only 1 triangle

Answer 21

can you label one of the sides of the triangle?

Answer 22

the length of it?

Answer 23

Hypotenuse is 1, since it's a unit circle

Answer 24

yes