Question

Find value of sec(-1125

Answer 1

Answer:

- (1)/(2)^1/2

Step-by-step explanation:

Since Sin (-θ) = - Sinθ, we have

Sin(-1125) = - Sin (1125)

= -Sin(1080 + 45) (because 3 x 360 = 1080

Now Sin(n x 2π) = 0 and Cos (n x2π) = 1 ( n is any integer )

= Sin (1080 + 45)

= -(Sin1080Cos45 + Cos1080Sin45)

= - ( 0 + 1*(1/2^1/2)

= - 1 upon root 2

= - (1)/(2)^1/2