In this triangle, the product of sin B and tan C is c/a , and the product of sin C and tan B is b/a
Sine the ratio of opposite to hypotenuse with respect to a given angle while tangent is the ratio of opposite to adjacent lengths of a given angle.
1) Sine = opposite/hypotenuse
Sin B = b/a
Tangent = opposite/adjacent
TanC = c/b
SinB × TanC = b/a × c/b
SinB × TanC = c/a
2) SinC = c/a
TanB = b/c
SinC × TanB = c/a × b/c
SinC × TanB = b/a
Complete question is;
In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.
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