Grade 11Trigonometry
If in a triangle ABC and sinA.sinC = ∂ . Find all possible values of ∂.
If in a triangle ABC
and sinA.sinC = ∂ . Find all possible values of ∂.
1 Answer
Harsh Patodia
Approved Tutor Answer11 Years agoHi
In a triangle A+B+C =180
sinA and sinC are maximum near 90. So if A=90 and B approaches to 90
sinA.sinC will approach to 1 but never 1
Similarly when b is near to 180 and A and C both are near to 0 but not 0 sinA.sinC will approach to 0
So sinA.sinC will lie between 0 and 1 (both exclusive).
In a triangle A+B+C =180
sinA and sinC are maximum near 90. So if A=90 and B approaches to 90
sinA.sinC will approach to 1 but never 1
Similarly when b is near to 180 and A and C both are near to 0 but not 0 sinA.sinC will approach to 0
So sinA.sinC will lie between 0 and 1 (both exclusive).
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