Question

If Sin (∝ + β) = 1 and cos (∝ − β) = 1 where ∝ + β <90, then the value of ∝ and β are respectively equal to

Answer 1

Answer:

30° and 60°

Step-by-step explanation:

cos2β

cos(α+β)=0

⇒cos(α+β)=cos90(∵cos0=0)

⇒α+β=90

⇒α=90−β

sin(α−β)

=sin(90−2β)=cos2β (∵sin(90−θ)=cosθ)