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| style="height:20px; width:200px; text-align:center;" |The [[diagram]] gives the [[magnitude]] of the [[tension]] as 10N and the [[angle]] from the [[horizontal]] as 37°.
| style="height:20px; width:200px; text-align:center;" |Using the [[horizontal]] as the [[x-axis]] a [[Right Angle Triangle|right angle triangle]] is drawn with the [[tension]] as the [[hypotenuse]] to show the two [[perpendicular]] components.
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| style="height:20px; width:600px; text-align:center;"; colspan = "2" |
The component needed is the [[Adjacent (Trigonometry)|adjacent]] to the [[angle]] in the [[Right Angle Triangle|right angle triangle]] so [[cosine]] should be used.
<math>F_x = 10\cos(37)</math>
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| style="height:20px; width:200px; text-align:center;" |The [[diagram]] gives the [[magnitude]] of the [[weight]] as 39N and the [[angle]] of the slope as 22.6°.
| style="height:20px; width:200px; text-align:center;" |Using the slope as the [[x-axis]] a [[Right Angle Triangle|right angle triangle]] is drawn with the [[weight]] as the [[hypotenuse]] to show the two [[perpendicular]] components. The [[angle]] at the bottom of this [[triangle]] is the same as the [[angle]] of the slope.
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| style="height:20px; width:600px; text-align:center;"; colspan = "2" |
The component needed is the [[Opposite (Trigonometry)|opposite]] to the [[angle]] in the [[Right Angle Triangle|right angle triangle]] so [[sine]] should be used.
<math>F_x = 39\sin(22.6)</math>
<math>F_x \approx 15N</math>
|}
===References===
====AQA====
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac387 ''Resolving (a force), page 54, GCSE Physics; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Resolving forces, page 133, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Resolving forces, page 153, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Resolving forces, pages 212-13, GCSE Combined Science Trilogy 2, Hodder, AQA '']
====Edexcel====
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Resolving forces, page 209, GCSE Physics, CGP, Edexcel '']