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If sin A + cosec A = 2; Find the value of sin2 A + cosec2 A. - Mathematics

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प्रश्न

If sin A + cosec A = 2;

Find the value of sin2 A + cosec2 A.

योग

उत्तर

sin A + cosec A = 2

Squaring both sides

(sin A + cosecA)2 = 22

sin2 A + cosec2 A + 2sin A . cosecA = 4

sin2 A + cosec2A + 2sin A. `1/sin "A"` = 4

sin2 A + cosec2 A = 2

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अध्याय 22: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - Exercise 22 (B) [पृष्ठ २८६]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 22 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
Exercise 22 (B) | Q 10 | पृष्ठ २८६
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