University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2022
Views:

55

Pages:

1
Author:

Gudrunecg9m

21. sin(90-30) = cos 30 22. sin 45 = cos(90-45) = cos 45 Write each function in terms of its cofunction. Assume that all angles labeled θ are acute angles. See Example 2. 21. cos 30° = sin 60 22. sin 45° = cos 45 23. csc 60° = sec 30 24. cot 73° = tan 17 25. sec 39° = csc 51 26. tan 25.4° = cot 64.6 27. sin 38.7° = cos 51.3 28. cos(θ+20°) = sin(90-(θ+20)) = sin(70-θ) 29. sec(θ+15°) = csc(90-(θ+15)) = csc(75-θ) Find one solution for each equation. Assume that all angles involved are acute angles. See Example 3. 31. tan α = cot(α+10°) cot(90-α) = cot(α+10°) 90-α = α+10 80 = 2α 40 = α 32. cos θ = sin(2θ-30°) sin(90-θ) = sin(2θ-30) 90-θ = 2θ-30 120 = 3θ 40 = θ 33. cos(90-α) = cos(3α-20°) 90-α = 3α-20 110 = 4α 27.5 = α 34. csc(90-(β+10)) = csc(β+20) 90-β-10 = β+20 60 = 2β 30 = β 35. cot(90-(3β+4)) = cot(5β-10) 90-3β-4 = 5β-10 96 = 8β 12 = β