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If A, +, cosec: A= 2; find the value of ^{2}A, +, cosec^{2}A

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If $sin A + cosec A = 2$ ; find the value of $sin^{2} A + cose c^{2} A$ .

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sin A + cosec A = 2

; find the value of

sin^{2} A + cose c^{2} A

10 mins ago

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Text solutionVerified

sin A + cosec A = 2

Squaring both sides, we get

\Rightarrow (sin A + cosec A)^{2} = 4

\Rightarrow sin^{2} A + cose c^{2} A + 2 = 4

\Rightarrow sin^{2} A + cose c^{2} A = 2

Hence, the answer is

2.

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Question Text	If $sin A + cosec A = 2$ ; find the value of $sin^{2} A + cose c^{2} A$ .
Answer Type	Text solution:1
Upvotes	150