Prove the following: tan10° + tan35° + tan10°.tan35° = 1 - Mathematics and Statistics

प्रश्न

Prove the following:

tan10° + tan35° + tan10°.tan35° = 1

योग

उत्तर

Since 45° = 10° + 35°,

tan 45° = tan (10° + 35°)

∴ 1 = $\frac{{\tan 10}^{\circ} + {\tan 35}^{\circ}}{1 - {\tan 10}^{\circ} {\tan 35}^{\circ}}$

∴ 1 – tan10° tan35° = tan10° + tan35°

∴ tan10° + tan35° + tan10° tan35° = 1

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Trigonometric Functions of Triple Angle

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 2. (xii)Q 2. (xi)Q 2. (xiii)

अध्याय 3: Trigonometry - 2 - Exercise 3.1 [पृष्ठ ३९]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board

अध्याय 3 Trigonometry - 2
Exercise 3.1 | Q 2. (xii) | पृष्ठ ३९

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Prove the following: tan10° + tan35° + tan10°.tan35° = 1 - Mathematics and Statistics

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Prove the following: tan10° + tan35° + tan10°.tan35° = 1 - Mathematics and Statistics

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