唔識做功課56

2015-03-22 12:52 am
solve the following equations for 0≤a<360.
1. cos a= - cos 45
2. tan a = - cos 17

回答 (2)

2015-03-22 1:41 am
✔ 最佳答案
1.
cos a = -cos45°
cos a = -√2 / 2 [Then, we know that a is in QII or QIII]
a = 180° - 45° or a = 180° + 45°
a = 135° or a = 225°

2.
tan a = -cos17°
tan a = -0.956304756 [Then, we know that a is in QII or QV]
[Use calculator to consider what value of b would give tan b = 0.956304756.]
[It turns out that b = 43.72047703°.]
Therefore,
a = 180° - 43.72047703° or a = 360° - 43.72047703°
a = 136.27952297° or a = 316.27952297°


2015-03-21 17:42:48 補充:
In Q2, [Then, we know that a is in QII or QIV]

2015-03-22 23:17:01 補充:
為了令同學容易去明白和計算,使用以下的步驟:

(1)先判斷是哪一個象限 (quadrant):1,2,3,4

(2)不理正負,全部當正數計出角度(那麼這角度必定是小於 90°,稱為 a)

(3)最後,根據(1)在以下四項中選適當的作答: a, 180° - a, 180° + a, 360° - a。

2015-03-22 23:18:26 補充:
例如:cos(x) = -0.6

(1)首先知道 x 是在 QII 或 QIII

(2)然後想像 cos(a) = 0.6 得 a = 53.13°

(3)答案是 x = 180° - 53.13° 或 x = 180° + 53.13°

2015-03-23 19:45:02 補充:
客氣啦~
你咁勤力, 希望你可以考得好成績。
2015-03-23 6:27 am
[Use calculator to consider what value of b would give tan b = 0.956304756.]
[It turns out that b = 43.72047703°.]唔明点解要求出tan b,亦唔明白負0.9563...為何變成正0.9563...唔好意思呀,哩課有好多唔明白嘅地方,請知識長再指点一下!

2015-03-23 18:44:22 補充:
其實miss冇教我當正數計出角度,所以我冇辦法計得到,我再將exercise重做咗一次,全對喇!所以...知識長好多謝你!


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原文連結 [永久失效]:
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