If `B=30^(@), b=3sqrt(2)-sqrt(6), c=6-2sqrt(3)`, solve the triangle.

In triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2) then find angleA .

If a=sqrt(3),b=1/2(sqrt(6)+sqrt(2))dot and c=2, then find /_A

The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A) pi/3 (B) pi/4 (C) pi/2 (D) pi/6

If the sides of a right-angled triangle are in A.P., then the sines of the acute angles are 3/5,4/5 b. 1/(sqrt(3)),sqrt(2/3) c. 1/2,(sqrt(3))/2 d. none of these

The values of parameter a for which the point of minimum of the function f(x)=1+a^2x-x^3 satisfies the inequality (x^2+x+2)/(x^2+5x+6)<0a r e (a) (2sqrt(3),3sqrt(3)) (b) -3sqrt(3),-2sqrt(3)) (c) (-2sqrt(3),3sqrt(3)) (d) (-2sqrt(2),2sqrt(3))

simplify : (a) sqrt(98) + sqrt(8) -2 sqrt(32) (b) (sqrt3 + sqrt5 + sqrt6) (sqrt3 - sqrt5 + sqrt6)

If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

In triangleABC, angleA=60, b = sqrt(3)+1 and c = sqrt(3)-1 then the value of tan ((B-C)/2) is-

The centroid of an equilateral triangle is (0, 0). If two vertices of the triangle lie on x+y=2sqrt(2), then one of them will have its coordinates. (a) (sqrt(2)+sqrt(6),sqrt(2)-sqrt(6)) (b) (sqrt(2)+sqrt(3),sqrt(2)-sqrt(3)) (c) (sqrt(2)+sqrt(5),sqrt(2)-sqrt(5)) (d) none of these