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If 2 sin x° - 1 = 0 and x° is an acute angle; find: i. sin x° ii. x° iii. cos x° and tan x°. - Mathematics

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Question

If 2 sin x° - 1 = 0 and x° is an acute angle; find:

  1. sin x°
  2. x° 
  3. cos x° and tan x°.
Sum

Solution

(i) 2 sin x° – 1 = 0

∴ sin x° = `(1)/(2)`

(ii) sin x° = `(1)/(2)`

sin x° = sin 30°

∴ x° = 30°

(iii) cos x° = cos 30° = `(sqrt3)/2`

tax x° = tan 30° = `(1)/(sqrt3)`

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Trigonometric Equation Problem and Solution
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Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (C) [Page 297]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (C) | Q 3 | Page 297
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