Simplify the following expressions.
1/tanθ + sinθ/1+cosθ
Answer: 1/sinθ
With steps, Thank you!
F.3 Maths
2013-01-31 3:42 am
回答 (1)
2013-01-31 3:53 am
✔ 最佳答案
1/tanθ + sinθ/(1+cosθ)= 1 / (sinθ/cosθ) + sinθ(1 -cosθ) / [(1+cosθ)(1 -cosθ)]
= cosθ / sinθ + sinθ(1 -cosθ) / (1 - cos²θ)
= cosθ / sinθ + sinθ(1 -cosθ) / sin²θ
= cosθ / sinθ + (1 -cosθ) / sinθ
= 1 / sinθ
收錄日期: 2021-04-13 19:16:49
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