2 sec 2 alpha is equal to tan beta + cot beta then (alpha + beta) maybe
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42
Answer:
α + β = π/4
Step-by-step explanation:
2 sec 2 alpha is equal to tan beta + cot beta then (alpha + beta) maybe
2Sec2α = Tanβ + Cotβ
=> 2Sec2α = Sinβ/Cosβ + Cosβ/Sinβ
=> 2Sec2α = (Sin²β + Cos²β)/SinβCosβ
=> 2Sec2α = 1/SinβCosβ
=> Sec2α = 1/2SinβCosβ
=> Sec2α = 1/Sin2β
=> Sin2β = 1/Sec2α
=> Sin2β = Cos2α
=> 2β = (π/2 - 2α)
=> 2β + 2α = π/2
=> α + β = π/4
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