Identitas Trigonometri

Identitas Trigonometri

By Pranidya Luigi

Identitas Trigonometri

Rumus-rumus identitas trigonometri

1. ​sin² α + cos² α = 1

2. ​1 + tan² α = sec² α

3. 1 + cotan² α = cosec² α​

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Identitas Trigonometri

Pemfaktoran

1. ​(a-b)² = a² - 2ab + b²

2. ​(a+b)² = a² + 2ab + b²

3. ​a² - b² = (a+b)(a-b)

4. ​a³ + b³ = (a+b)(a² -ab + b²)

5. ​a³ - b³ = (a-b)(a² +ab + b²)

6. a⁴ - b⁴ = (a² + b²)​(a² - b²)

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$$\frac{1+\tan\alpha}{\sin\alpha\ +\ \cos\alpha}=\sec\alpha$$  

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$$\sin^4\alpha-\cos^4\alpha\ =\ 1-2\cos^2\alpha$$  

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$$\frac{1}{1-\cos\ p}+\frac{1}{1+\cos\ p}=2\ \operatorname{cosec}^2p$$  

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$$\frac{\operatorname{cotan}\alpha-\tan\alpha}{\operatorname{cotan}\alpha-1}=1+\tan\alpha$$  

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$$\frac{2-\sec^2A}{\sec^2A}=1-2\sin^2A$$  

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$$\frac{\sec^2\theta-1}{\sec^2\theta}=\sin^2\theta$$