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If Cosec a + Sin a = 5(1)/(5) Find the Value of Cosec2a + Sin2a - Mathematics

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प्रश्न

If cosec A + sin A = 5`(1)/(5)`, find the value of cosec2A + sin2A.

योग

उत्तर

co secA + sin A = 5`(1)/(5)`

Squaring both sides

`( cosec "A" + sin "A")^2 = (5 1/5)^2`

`cosec^2 "A" +sin^2"A" + 2cosec A. 1/(cosec"A") =(26)/(25)`

`cosec^2 "A" + sin^2"A" = (626)/(25)`

`cosec^2 "A" + sin^2"A" = 25 (1)/(25)`

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अध्याय 22: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - Exercise 22 (B) [पृष्ठ २८७]

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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 29 | पृष्ठ २८७
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