If - -0-2- then sum of all positive values of - if- sin-1-2- cos-12- tan-3- is

In each of $α$ $β$ and $γ$ $is a positive acute angle such that$
$sin (α + β - γ) = \frac{1}{2}, cos (β + γ - α) = \frac{1}{2} and tan (γ + α - β) = 1$
Find the values of $α$ , $β$ , & $γ$ .

Q. If

0 < α < β < γ < π / 2

, then show

tan α < \frac{sin α + sin β + sin γ}{cos α + cos β + cos γ} < tan γ

Q. If

cos (α - β) + cos (β - γ) + cos (γ - α) = - \frac{3}{2}, cos α + cos β + cos γ = p & sin α + sin β + sin γ = q

, then

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If α,β,γϵ[0,2π], then sum of all positive values of α,β,γ if,sinα=−1√2, cosβ=−12, tanγ=−√3, is

The correct option is A 22π3sinα=−1√2⇒α=5π4,7π4cosβ=−12⇒β=2π3,4π3tanγ=−√3⇒γ=2π3,5π3Sum=22π3

If $α, β, γ ϵ [0, 2 π]$ , then sum of all positive values of $α, β, γ$ if,
$sin α = \frac{- 1}{\sqrt{2}}$ , $cos β = \frac{- 1}{2}$ , $tan γ = - \sqrt{3}$ , is

The correct option is A $\frac{22 π}{3}$
$sin α = \frac{- 1}{\sqrt{2}} \Rightarrow α = \frac{5 π}{4}, \frac{7 π}{4}$
$cos β = \frac{- 1}{2} \Rightarrow β = \frac{2 π}{3}, \frac{4 π}{3}$
$tan γ = - \sqrt{3} \Rightarrow γ = \frac{2 π}{3}, \frac{5 π}{3}$
$S u m = \frac{22 π}{3}$