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

Question

Mathematics

Malakai Oneill

2 April, 06:11

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

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Answers (2)

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Alexander Krueger · Answer 1

Alexander Krueger 2 April, 08:53

0

3pi/4 and 7pi/4 are correct

Alyvia · 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