If cos- -1-2 tan - -1-3 find the value of - -

cosα=1√(2),tanβ=1√(3) α=45(π/4),β=30(π/6) α+β=75 #176;(5π/12) ...

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Trigonometric Ratios of Multiples of an Angle

If cosα =1/...

Question

If $c o s α = \frac{1}{\sqrt{2}}$ tan $β = \frac{1}{\sqrt{3}}$ find the value of $α + β$

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α = K cot β,

\frac{cos (α - β)}{cos (α - β)}

\frac{β - α}{{tan}^{- 1} β - {tan}^{- 1} α}

0 < α < β < \sqrt{3}

sin α - sin β = 1 / 3

cos β - cos α = 1 / 2,

cot \frac{α + β}{2} = \frac{k}{3}

k

cos (α - β) = 1

cos (α + β) = \frac{1}{2},

α, β \in (- π, π),

(α, β)

cot α = \frac{1}{2}, s e c β = - \frac{5}{3}

π < α < \frac{3 π}{2}

\frac{π}{2} < β < π

tan (α + β)

α + β

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