sqrt(180)

Find the value of 'a' , if sqrt80+sqrt180+asqrt5=0 .

In the argand plane, the vector z=4-3i,wherei=sqrt(-1), is turned in the clockwise sense by 180^@ . Find the complex number represented by the new vector .

In the argand plane, the vector z=4-3i,wherei=sqrt(-1), is turned in the clockwise sense by 180^@ . Find the complex number represented by the new vector .

sin225^(@)=sin(180^(@)+45^(@))=-sin45^(@)=-(1)/(sqrt(2)) cos246^(@)=cos(180^(@)+66^(@))=-cos66^(@)=-0.4067 tan211^(@)=tan(180^(@)+31^(@))=tan31^(@)=0.6009 .

If 90^(@)

sin120^(@)=sin(180^(@)-60^(@))=sin60^(@)=(sqrt(3))/(2) cos150^(@)=cos(180^(@)-30^(@))=-cos30^(@)=(-sqrt(3))/(2) tan172^(@)=tan(180^(@)-8^(@))=-tan8^(@)=-0.1405

(3+2sqrt(2))^(-3)+(3-2sqrt(2))^(-3) is (i)189(ii)180(iii)108(iv)198

2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)= A) sqrt2+(3)/(2) B) sqrt3+(2)/(3) C) sqrt2-(3)/(2) D) sqrt3-(2)/(3)

If 180^(@)

If theta is an acute angle such that 4sin^(2) theta-2(sqrt3+1)sintheta+sqrt3=0,"then": theta= A) 30^(@) or 60^(@) B) 45^(@) or 90^(@) C) 0^(@) or 180^(@) D)none of these