Simplest Trigo!
Geometry
Level
2
Sin∠A + Sin∠B + Sin∠C + Sin∠D + Sin∠E + Sin∠F + Sin∠G + Sin∠H = 8
Find value of (∠A+∠B+∠C+∠D+∠E+∠F+∠G+∠H)/360
The answer is 2.
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1 solution
We know that maximum value of Sinθ is 1, where θ=90°. In this case all the angles have to be equal to 90° in order to satisfy the equation.
therefore ∠A=∠B=∠C=∠D=∠E=∠F=∠G=∠H=90°
By putting the values and solving it we get the answer as 2.