Question

sin 930° solve into quadrant system

Answer 1

Hi remember it sin(2π+x)=x

So sin(930°)

Sin(360+360+210)

Sin(210)

210 lies in the third quadrant where sin is negative by astc rule

Sin(π+x)=-sinx

So now see from 180°

Sin (180+30)

-sin(30°)

=-1/2=-0.5

Answer 2

Answer:

The value of sin(930°) = -(1/2).

Step-by-step explanation:

Trigonometric functions:

• The trigonometric functions, also known as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.
• The basic six trigonometric functions are sinθ, cosθ, tanθ, cosecθ, secθ, cotθ.

Trigonometric functions in Four Quadrants.

• The angle θ is an acute angle (θ <90 °) and is measured counterclockwise with respect to the positive x-axis.
• Also, these trigger functions have different numeric symbols (+ or-) in  different quadrants based on the positive or negative axis of the quadrant.
• The trigonometric functions of Sinθ and Cosecθ are positive in quadrants I and II and  negative in quadrants III and IV.
• All  trigonometric functions have a positive region in the first quadrant.
• The trigonometric functions Tanθ and Cotθ are positive only in quadrants I and III, and the trigonometric ratios of Cosθ and Secθ are positive only in quadrants I and IV.

       We need to find the value of sin(930°)

       sin(930°) = sin(360°+360°+210°)

                       = sin(360°+210°)              [since sin(2π + θ) = sinθ]

                       = sin(210°)

                       = sin(180°+30°)

                       = -sin(30°)                    [ since sin(π+θ) = -sinθ]

                       = -(1/2)      

      Hence, the value of sin(930°) = -(1/2).                    

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