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sin(0-a) + 3 sin 0+ sin(0 + a) cos(-a) +3 cos 0 + cos(0 + a) (i) Prove that =tan 0 for all values of a. (ii) Find the exact value of 4 sin 149° + 12 sin 150° +4 sin 151° 3 cos 149° +9 cos 150° +3 cos 151° (iii) It is given that k is a positive constant. Solve, for 0° < 0 < 60° and in terms of k, the equatic sin(60-15°) + 3 sin 60+ sin(60+ 15°) cos(60-15°) +3 cos 60+ cos(60+ 15°) =k.

sin(0-a) + 3 sin 0+ sin(0 + a) cos(-a) +3 cos 0 + cos(0 + a) (i) Prove that =tan 0 for all values of a. (ii) Find the exact value of 4 sin 149° + 12 sin 150° +4 sin 151° 3 cos 149° +9 cos 150° +3 cos 151° (iii) It is given that k is a positive constant. Solve, for 0° < 0 < 60° and in terms of k, the equatic sin(60-15°) + 3 sin 60+ sin(60+ 15°) cos(60-15°) +3 cos 60+ cos(60+ 15°) =k.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q3 (i) Prove that =tan 0 for all values of a. 4 sin 149° + 12 sin 150° + 4 sin 151° (ii) Find the exact value of 3 cos 149° +9 cos 150° +3 cos 151°* (iii) It is given that k is a positive constant. Solve, for 0° < 0 < 60° and in terms of k, the equatic sin(60-15°) + 3 sin 60+ sin(60+ 15°) cos(60-15°) + 3 cos 60+ cos(60 + 15°) = k. H sin(0-a) + 3 sin 0 + sin(0 + a) cos(-a) +3 cos 0 + cos(0 + a) a U C
Transcribed Image Text:Q3 (i) Prove that =tan 0 for all values of a. 4 sin 149° + 12 sin 150° + 4 sin 151° (ii) Find the exact value of 3 cos 149° +9 cos 150° +3 cos 151°* (iii) It is given that k is a positive constant. Solve, for 0° < 0 < 60° and in terms of k, the equatic sin(60-15°) + 3 sin 60+ sin(60+ 15°) cos(60-15°) + 3 cos 60+ cos(60 + 15°) = k. H sin(0-a) + 3 sin 0 + sin(0 + a) cos(-a) +3 cos 0 + cos(0 + a) a U C
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