Question

If Alpha plus beta =90degree and Alpha ratio beta equal to 2 ratio 1 then what is the value of sin alpha ratio sin beta

Answer 1

Step-by-step explanation:

Solution:

Given,

α + β = 90°

sin α sin β

= sin α sin(90° – α)

= sin α cos α

= (1/2) (2 sin α cos α)

= (1/2) (sin 2α)

The range of sin 2α is [-1, 1] since the range of sin x is [-1, 1].

Hence, the maximum value of (1/2) sin 2α or is sin α sin β is 1/2.