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If ^2 + {cosec}^2 = 6, then + {cosec} = _____

Question

If $sin^{2} θ + cosec^{2} θ$ $= 6$ , then $sin θ + cosec θ$ $=$ _____

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Elizabeth Discussed

sin^{2} θ + cosec^{2} θ

= 6

, then

sin θ + cosec θ

=

_____

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Given,

sin^{2} θ + cosec^{2} θ = 6

\Rightarrow sin^{2} θ + cosec^{2} θ + 2 \times sin θ \times cosec θ

= 6 + 2 sin θ \times cosec θ

\Rightarrow (sin θ + cosec θ)^{2} = 6 + 2

\Rightarrow sin θ + cosec θ = 8

\Rightarrow sin θ + cosec θ = 22

Hence, option 'B' is correct.

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Question Text	If $sin^{2} θ + cosec^{2} θ$ $= 6$ , then $sin θ + cosec θ$ $=$ _____
Answer Type	Text solution:1
Upvotes	150