हिंदी

Find the value of angle A, where 0° ≤ A ≤ 90°. sin (90° – 3A) . cosec 42° = 1 - Mathematics

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प्रश्न

Find the value of angle A, where 0° ≤ A ≤ 90°.

sin (90° – 3A) . cosec 42° = 1

योग

उत्तर

sin (90° – 3A) . cosec 42° = 1

`cos3A. 1/(sin42^circ) = 1`

cos 3A = sin 42°

= sin (90° – 48°)

= cos 48°

3A = 48°

A = 16°

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अध्याय 21: Trigonometrical Identities - Exercise 21 (C) [पृष्ठ ३२९]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 21 Trigonometrical Identities
Exercise 21 (C) | Q 8.1 | पृष्ठ ३२९

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