[8sin^(2)x+3cos^(2)x=5rArr cot x=],[1,+-(1)/(sqrt(2))quad " 2) "+-(1)/(sqrt(3))quad " 3) "+-sqrt((3)/(2))4=sqrt((2)/(3))]

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

4 cos^(2)x + sqrt(3) = 2(sqrt(3)+1)

if x=sqrt(3)+(1)/(sqrt(3)) and y=sqrt(3)-(1)/(sqrt(3)) then x^(2)-y^(2) is

lim_(x rarr a)(sqrt(3a+x)-2sqrt(x))/((sqrt(a+2x)-sqrt(3x)))=(3sqrt(3))/(2)

If (sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))=3 then x=1)sqrt((2)/(3)2)sqrt((1)/(3))3)sqrt((2)/(5))sqrt((3)/(5))

5sin x+4cos x=3rArr4sin x-5cos x= a) 4 b) 4sqrt(2) c) 3sqrt(2) d) sqrt(2)