Question

find the value sec (3660°)

Answer 1

Answer:

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Answer 2

Given:  

A trigonometric function Sec(3660°).  

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 Sec( 620°).  

2. According to the properties of trigonometry,  

=> Sec ( 360 + x ) = Secx.  

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

=> Sec(3660) = Sec(360 + 3300) = Sec(3300°),  

=> Sec(3300) = Sec(360+2940) = Sec(2940°),  

=> Sec(2940) = Sec(360+2580) = Sec(2580°),  

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

=> Sec(2220) = Sec(360 + 1860) = Sec(1860°),  

=> Sec(1860) = Sec(360 + 1500) = Sec(1500°),  

=> Sec(1500) = Sec(360 + 1140) = Sec(1140°),  

=> Sec(1140) = Sec(360 + 780) = Sec(780°),  

=> Sec(780) = Sec(360 + 420) = Sec(420°),  

=> Sec(420) = Sec(360 + 60) = Sec(60°),

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

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

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

4. The value of Sec(60°) is,

=> Sec(60°) = 1/Cos(60°) = 1/(1/2) = 2.

Therefore, the value of sec(3600°) is 2.