Question

without using calculator sin 4620​

Answer 1

Answer:

-√3/2

Step-by-step explanation:

sin(51×90⁰)= -cos30⁰

= -√3/2

hopes u will like it

Answer 2

Given:  

A trigonometric function Sin( 4620° ).  

To Find:  

The value of the above function.  

Solution:  

The given problem can be solved using the concepts of trigonometry.  

1. The given trigonometric term is Sin( 4620°).  

2. According to the properties of trigonometry,  

=> Sin ( 360 + x ) = Sinx.  

3. Using the property mentioned above we can find the value of Sin( 3660°),  

=> Sin(4620°) = Sin(360 + 4260) = Sin(4260°),  

=> Sin(4260) = Sin(360+3900) = Sin(3900°),  

=> Sin(3900) = Sin(360+3540) = Sin(3540°),  

=> Sin(2580) = Sin(360+2220) = Sin(2220°),  

=> Sin(3540) = Sin(360 + 3180) = Sin(3180°),  

=> Sin(3180) = Sin(360 + 2820) = Sin(2820°),  

=> Sin(2820) = Sin(360 + 2460) = Sin(2460°),  

=> Sin(2460) = Sin(360 + 2100) = Sin(2100°),  

=> Sin(1740) = Sin(360 + 1740) = Sin(1740°),  

=> Sin(1740) = Sin(360 + 1380) = Sin(1380°),

=> Sin(1380) = Sin(360 + 1020 ) = Sin(1020°),

=> Sin(1020) = Sin(360 + 660) = Sin(660°),

=> Sin(660) = Sin(360 + 300) = Sin(300°),

 

4. The value of Sin(300°) is,

=> Sin(300°) = Sin(360 - 60) = -Sin(60°) = -√(3)/2.

Hence, the value of Sin(4620°) is -√(3)/2.