Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

MathematicsTrigonometric Ratios & IdentitiesMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

If $2 sec 2 α = tan β + cot β$ , then one positive value of $α + β$ is

Answer:

Solution:

$2 sec 2 α = \frac{1}{s i n β c o s β} \Rightarrow cos 2 α = sin 2 β \Rightarrow 2 α = \frac{π}{2} - 2 β \Rightarrow α + β = \frac{π}{4}$

Stream:JEESubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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