Trigonometry I

After working through this chapter you should be able to (1)Determine the values of the trigonometric ratios for angles from 0° to 360° inclusive.(2)Derive the relationships tan θ = sin θ/cos θ and sin2 θ + cos2 θ = 1 for a right-angled triangle.(3)Plot the graphs of sin θ, cos θ and tan θ for angles from 0° to 360° inclusive.(4)State the sine and cosine rules.(5)State the conditions under which these rules may be used.(6)Use these rules to calculate unknown sides and angles in any triangle.(7)Solve practical problems using these rules.(8)Calculate the area of any triangle using the formulae ½ab sin C and √ [s (s − a) (s −b) (s − c)].