Maths --- trigo (urgent)

2011-07-13 3:01 am
Can anyone help me solve the following :

It is given that :

圖片參考:http://imgcld.yimg.com/8/n/HA00656648/o/701107120096713873428060.jpg


Solve the following if
圖片參考:http://imgcld.yimg.com/8/n/HA00656648/o/701107120096713873428061.jpg



圖片參考:http://imgcld.yimg.com/8/n/HA00656648/o/701107120096713873428072.jpg



THX A LOT !~

回答 (1)

2011-07-13 3:15 am
✔ 最佳答案
(1 + 2sinβ cosβ) / (1 - 2sin²β) = 3/5(sin²β + cos²β + 2sinβ cosβ) / (sin²β + cos²β - 2sin²β) = 3/5(sinβ + cosβ)² / (cos²β - sin²β) = 3/5(You can skip the above steps)(sinβ + cosβ) / (cosβ - sinβ) = 3/5 5sinβ + 5cosβ = 3cosβ - 3sinβ8sinβ = - 2cosβsinβ / cosβ = - 2/8tan β = - 1/4β = 165.96376° or β = 345.96376° for 0° ≤ β < 360°


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