Can equation sin(x - 60) - cos(30 - x)=1 be written in the form cos x= k where k is a constant? Trigonometry 1 Answer Jane Feb 24, 2018 Given, # sin(x-60) - cos (30-x)=1# #=> sin x cos 60 - cos x sin 60 - cos 30 cos x - sin 30 sin x=1# #=> (sin x)/2 - sqrt(3)/2 * cos x - sqrt(3)/2*cosx - (sinx)/2 =1# # => -2 sqrt(3)/2*cos x=1# # = cos x (-sqrt(3)) =1# #=> cosx =-1/sqrt(3)=k# Answer link Related questions How do I determine the molecular shape of a molecule? What is the lewis structure for co2? What is the lewis structure for hcn? How is vsepr used to classify molecules? What are the units used for the ideal gas law? How does Charle's law relate to breathing? What is the ideal gas law constant? How do you calculate the ideal gas law constant? How do you find density in the ideal gas law? Does ideal gas law apply to liquids? Impact of this question 5696 views around the world You can reuse this answer Creative Commons License