If -4 the prove that 1-tan-1-tan-2

Given: α+β=π4 tan(α+β)=tanπ4 tanα+tanβ1 tanαtanβ=1 ⇒tanα+tanβ=1 tanαtanβ ⇒tanα+tanβ+tanαtanβ=1 ⇒tanα+tanβ+tanαtanβ=1 by adding ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sin(A+B)Sin(A-B)

If α+β=π4 t...

Question

If $α + β = \frac{π}{4}$ the prove that $(1 + t a n α) (1 + t a n β) = 2$

Open in App

Solution

Suggest Corrections

Similar questions

α - β = \frac{3 π}{4}

(1 - tan α) (1 + tan β) =

tan α = \frac{m}{m + 1}

tan β = \frac{1}{2 m + 1}

α + β = \frac{π}{4}

α + β = 45^{θ}

(1 + tan α) (1 + tan β) =

α + β = \frac{π}{4},

tan α = \frac{1}{2}, tan β = \frac{1}{3}

α + β = π / 4

Join BYJU'S Learning Program