हिंदी

prove that: cos (2 x 30°) = 1 – tan 2 30 ° 1 + tan 2 30 °

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प्रश्न

prove that:

cos (2 x 30°) = `(1 – tan^2 30°)/(1+tan^2 30°)`

योग
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उत्तर

RHS,

`(1 – tan^2 30°)/(1 +tan^2 30°) = (1–(1)/(3))/(1+(1)/(3)) = (1)/(2)`

LHS,

cos (2 x 30°) = `cos 60° = (1)/(2)`

LHS = RHS

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अध्याय 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (C) [पृष्ठ ३२२]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
EXERCISE 21 (C) | Q 5. (ii) | पृष्ठ ३२२
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