Prove that: `"sinA sin"(60-"A")sin(60+"A")=1/4sin3"A"dot`

4sinA.sin(60^(@)+A)sin(60^(@)-A)=sin3A

4sinA.sin(60^(@)+A)sin(60^(@)-A)=sin3A

Prove that : sin3x=3sinx-4sin^(3)x

Prove that: (sin A + cos A)/(sin A - cos A) + (sin A - cos A)/(sin A + cos A) = (2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2 cos^(2)A) .

Prove that 3 sin ""pi/6 sec ""pi/3 -4 sin ""(5pi)/(6) cot"" (pi)/(4) = 3 -4 xx 1/2 =1=R.H.S.

If A+B+C=pi , Prove that sin2A+sin2B+sin2C=4sinA.sinB.sinC

cos^(6)A+sin^(6)A=1-3/4sin^(2)(2A)

cos^(6)A+sin^(6)A=1-3/4sin^(2)(2A)

If A+B+C=pi , prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

Prove that : (1)/(cosec A - cot A) - (1)/(sin A) = (1)/(sin A) - (1)/(cosec A + cot A)