Math, asked by shaily28, 11 months ago

2 sec 2 alpha is equal to tan beta + cot beta then (alpha + beta) maybe​

Answers

Answered by amitnrw
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

Answered by suveda34
6

Answer:

I have attached above the solution hope

it helps

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