Question

prove that cot tita - tan tita = 2 cos sq tita -1 / sin tita cos tita​

Answer 1

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Answer 2

Step-by-step explanation:

cotα-tanα=$\frac{2cos²α-1}{sinαcosα}$

⇒$\frac{cosα}{sinα}$ - $\frac{sinα}{cosα}$

⇒$\frac{cos²α - sin²α}{sinαcosα}$

⇒$\frac{cos²α - (1 - cos²α)}{sinαcosα}$

⇒$\frac{cos²α - 1 + cos²α)}{sinαcosα}$

⇒$\frac{2cos²α - 1}{sinαcosα}$

Hence proved