MQ14 --- Trigonometry

2012-05-24 3:11 am
Difficulty: 20%Express sinθ interms of tanθ.

回答 (2)

2012-05-24 3:34 am
✔ 最佳答案
sinθ / cosθ = tanθ
sin²θ / cos²θ = tan²θ
sin²θ / (1 - sin²θ) = tan²θ
sin²θ = tan²θ - sin²θ tan²θ
sin²θ (1 + tan²θ) = tan²θ
sin²θ = tan²θ / (1 + tan²θ)
sinθ = ± tanθ / √(1 + tan²θ)
2012-05-24 4:01 pm
tanθ=x/1
對邊:x,鄰邊:1,斜邊:√(1+x²)
sinθ=±x/√(1+x²)=±tanθ/√(1 + tan²θ)


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