Trigonometric EquationHard
Question
In ᐃABC, which of the following is/are possible (where notations have usual meaning)
Options
A.sin A : sin B : sin C = 1 : 2 : 3
B.ᐃ = 
C.(a + b + c)(a + b - c) = 3ab
D.b2 - c2 = aR
Solution
(A) a : b : c = 1 : 2 : 3
(B) ᐃ =
bc sin A = 
sin A =
(possible)
(C) (a + b)2 - c2 = 3ab
a2 + b2 - c2 = ab
cos C =
(possible)
(D) 4R2(sin2B - sin2C) = 2R2sin A
sin (B + C) sin (B - C) =
sin A
sin(B - C) =
(possible)
(B) ᐃ =
bc sin A = sin A =
(possible)(C) (a + b)2 - c2 = 3ab
a2 + b2 - c2 = ab
cos C =
(possible)(D) 4R2(sin2B - sin2C) = 2R2sin A
sin (B + C) sin (B - C) =
sin Asin(B - C) =
(possible)Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
If sec θ + tan θ = P then the value of sin θ is -...If cosθ + cos 7θ + cos 3θ + cos 5θ = 0, then θ =...A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-...If sin θ = and θ lies in the second quadrant then sec θ + tan θ =...A tetrahedron has vertices at O (0, 0, 0), A (1, 2, 1), B (2, 1, 3) and C (- 1, 1, 2). Then the angle between the faces ...