Pls someone help I will mark u as brainiest if u try it
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sorry i dont know
please mark the Brainlest
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Answer:
1/2 will be the Answer:
Step-by-step explanation:
Given:
tan θ = 1/√3
Find
cosec²θ - sec²θ/cosec²θ +sec²θ
we know that:
cosec²θ = 1 +cot²θ
and, sec²θ = 1 + tan²θ
then,
cosec²θ - sec²θ/cosec²θ +sec²θ
={ ( 1 +cot²θ) - ( 1 + tan²θ)}/{( 1 +cot²θ) + ( 1 + tan²θ)}
= (cot²θ - tan²θ)/(2 + cot²θ + tan²θ)
we know that,
cot θ = 1/tan θ
cot θ = 1 /1/√3 = √3
on putting value in obtained equation:
= (3 - 1/3)/( 5 + 1/3)
= 8/3*3/16
= 1/2
Hence, we have our required solution
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