Calculation of sin 18, cos 18, and sin 3. (a) Prove that
Chapter 8, Problem 68(choose chapter or problem)
Calculation of sin 18, cos 18, and sin 3. (a) Prove that cos 3u 4 cos3 u 3 cos u. (b) Supply a reason for each statement. (i) sin 36 cos 54 (ii) 2 sin 18 cos 18 4 cos3 18 3 cos 18 (iii) 2 sin 18 4 cos2 18 3 (c) In equation (iii), replace cos2 18 by 1 sin2 18 and then solve the resulting equation for sin 18. Thus show that (d) Show that (e) Show that sin 3 is equal to Hint: 3 18 15 (f) Use your calculator to check the results in parts (c), (d), and (e).
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