The formula 2sin-1 x = sin-1 holds for
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cos-1 (cos x) = x is satisfied by
If 2 tan-1 x + sin-1 is independent of x then
If tan-12, tan-13, are two angles of a triangle then the third angle is
If the area of a ΔABC be λ then a2 sin 2B + b2- sin 2A is equal
If k be the perimeter of the ΔABC then b cos2 C/2 + cos2 B/2 is equal to
If R denotes circumradius then in a ΔABC, is equal to
If a ΔABC, ( c + a + b) (a + b - c) = ab. The measure of ∠C is
In a ΔABC, A : B : C = 3 : 5 : 4. Then a + b + c√2 is equal to
The equation ax2 + bx + c = 0, where a, b, c are the sides of a ΔABC, and the equation x2 + √2x + 1 =0 have a commn root. The measure of √C is
If in a ΔABC, a2 cos2 A = b2 + c2 then
In a ΔABC, tan A/2 and tan B/2 satisfy 6x2 - 5x + 1 = 0. Then
Two sides of a triangle are given by the roots of the equation x2 - 2√3x + 2 = 0. The angle be tween the sides is π/3. The perimeter of the triangle is
The sides of a ΔABC are AB = cm, BC - 4√3 cm and CA = 7 cm. Then sinθ, where θ is the smallest angle of the triangle, is equal to
Two sides of a triangle are 2√2 cm and 2√3 cm and the angle opposite to the shorter side of two is π/4. The largest possible length of the third side is
In a ΔABC, a = 8, b = 10 and c= 12. Then C is equal to
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