Trigonometry !…
[tex]\sf{ If \ \pi \leq \theta \leq \dfrac{3 \pi}{2} , \ then }\\ \sf{ \sqrt{ \frac{1 + cos \: \theta}{1 - cos \: \theta} + \sqrt{ \frac{1 - cos \: \theta}{1 + cos \: \theta} } } \: is \: equal \: to \: : } \\ \\ \sf{ a) 2 \: cosec \: \theta} \\ \sf{b) - 2 \: cosec \: \theta}\\ \sf{ c)2 \: sec \: \theta} \\ \sf{d) - \: sec \: \theta}[/tex]
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Given :
Correct question
a) 2 cosec θ
b) -2 cosec θ
c) 2 sec θ
d) - sec θ
According to the question :
Solving :
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Now Rationalise the denominator,
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Then ,
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Now take LCM then ,
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So It's Done !!
Answer:
answer for the given problem is given