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Find the magnitude of angle A, if tan A - 2 cos A tan A + 2 cos A - 1 = 0 - Mathematics

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प्रश्न

Find the magnitude of angle A, if tan A - 2 cos A tan A + 2 cos A - 1 = 0

योग

उत्तर

tan A – 2 cos A tan A + 2 cos A – 1 = 0
tan A – 2 cos A tan A = 1 – 2 cos A
tan A ( 1 –  2 cos A ) –  (1 – 2 cos A )= 0
(1 –  2 cos A) (tan A –  1) = 0
1 –  2 cos A = 0 and tan A –  1 = 0
cos A = `(1)/(2)` and tan A = 1
A = 60° and A = 45°

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Trigonometric Equation Problem and Solution
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (C) [पृष्ठ २९८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (C) | Q 11.2 | पृष्ठ २९८
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