If sinxcos (pi/7) - sin (pi/7) cosx=-sqrt2/2 then x can equal?

Question

Ronnie Mahoney

Mathematics

2 September, 06:03

If sinxcos (pi/7) - sin (pi/7) cosx=-sqrt2/2 then x can equal?

+4

Answers (2)

Know the Answer?

Decker · Answer 1

Decker 2 September, 06:21

0

3pi/4 and 7pi/4 are correct

Powell · Answer 2

I'm going for a range of 0 < x <2 π

This is R sin (x-a), although R is 1.

a = π/7, so

=> sin (x - (π/7)) = - 1 / (sqrt (2))

=> x = 53 π/28, 39 π/28