1.

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»

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.


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