Radians

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143

Question 111

When $\theta\,$ is small, show that $cos⁡θsin⁡θ\displaystyle \frac{\cos \theta}{\sin \theta}$ can be approximated by $2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}$

[3]

Hence, approximate the value of $cos⁡πksin⁡πk\displaystyle \frac{\cos \frac{\pi}{k}}{\sin \frac{\pi}{k}}$ in terms of $k$

[2]

Calculate the percentage error in your approximation, in terms of $k$

[2]

When $\theta\,$ is small, show that $cos⁡θsin⁡θ\displaystyle \frac{\cos \theta}{\sin \theta}$ can be approximated by $2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}$

Hence, approximate the value of $cos⁡πksin⁡πk\displaystyle \frac{\cos \frac{\pi}{k}}{\sin \frac{\pi}{k}}$ in terms of $k$

[2]

Calculate the percentage error in your approximation, in terms of $k$

[2]

Radians

Question 111

Markscheme

Radians

Question 111

Markscheme

Radians

Question 111

Radians Questions

Radians

Question 111

Radians Questions