Example 10 - Prove that 3sin pi/6 sec pi/3 - 4 sin 5pi/6 - Examples

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Example 10 Prove that 3sin "π " /6 sec "π " /3 – 4 sin "5π " /6 cot "π " /4 = 1 Solving LHS 3sin "π " /6 sec "π " /3 – 4 sin "5π " /6 cot "π " /4 = 3 × 𝟏/𝟐 × 2 – 4 sin (𝝅 −𝝅/𝟔) × 1 = 3 – 4 sin 𝝅/𝟔 = 3 – 4 × "1 " /2 = 1 = R.H.S.

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