Question

find the value of sec510°​

Answer 1

Answer:

sec(-150)=-(2sqrt(3))/3#

Explanation:

#sec(-150)=1/cos(-150)=1/cos(150)=1/cos(180-30)=1/(-cos30)=1/(-sqrt(3)/2)=-(2sqrt(3))/3#

Answer 2

Answer:

-2/√3

Step-by-step explanation:

sec(510°)

= sec(360°+150°)

= sec(150°)

= sec(90°+60°)

= - cosec60°

= -2/√3

Formula used:-

(1) sec(360°+X) = secX

(2) sec(90°+Y) = - Cosec y

note:- -2/√3= (-2×√3)/(√3×√3)

= (-2/3) √3

this is the rationalised form