Related InterviewSolutions

• Prove that: `cos18^0-si n 18^0=sqrt(2)sin27^0`
• Prove that: `(sin(A-C)+2sinA+sin(A+C)) / ("sin"("B"-"C")+2sinB+"sin"(B+C))`=`(sinA)/(sinB)``
• Prove that: `(sinA+s in3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A`
• Prove that: `1+cos2x+cos4x+cos6x=4cosxcos2xcos3x`
• If `(sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m)`, prove that `tan(pi/4-theta)tan(pi/4-alpha)=m`
• Prove that: `4"cos"12^0cos48^0cos72^0=cos36^0`
• If `sinx+siny=sqrt(3)(cos y-cos x),`then `sin3x+sin3y=`(a)`2sin3x`(b) 0 (c) 1 (d) none of these
• If `cos(alpha+beta)*sin(gamma+delta)=cos(alpha-beta)*sin(gamma-delta),`prove that `cotalphacotbetacotgamma=cotdelta`
• If `xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3)`, prove that `x y+y z+z x=0.`