Prove that `(cotA/2+cotB/2)(asin^2B/2+bsin^2A/2)=ccotC/2`

In A B C ,(cot A/2+cotB/2)(asin^2B/2+bsin^2A/2)= cotC (b) ccotC (c) cotC/2 (d) ccotC/2

If A+B+C= pi ,prove that cot(A/2)+cot(B/2)+cot(C/2)=cot(A/2)cot(B/2)cot(C/2)

Prove that (cosA-cosB)^2+(sin A-sin B)^2=4sin^2((A-B)/2)

In A B C , prove that (a-b^2cos^2C/2+(a+b)^2sin^2C/2=c^2dot

If A+B+C=180^0 , prove that : cos^2, A/2 + cos^2, B/2 - cos^2, C/2 = 2cos, A/2 cos, B/2 sin, C/2

In A B C Prove that cos^2A/2+cos^2B/2+cos^2C/2lt=9/4dot In cos^2A/2+cos^2B/2+cos^2C/2=y(x^2+1/(x^2)) then find the maximum value of ydot

If A+B+C=pi, " prove that sin"^(2) ""A/2+sin^(2) ""B/2+sin^(2) ""C/2=1-2 sin ""A/2 sin ""B/2 sin ""C/2

If the sides a , b and c of ABC are in AP dotPdot, prove that 2sinA/2sinC/2=sinB/2 acos^2C/2+cos^2A/2=(3b)/2

In any triangle prove that a^2 =(b+c)^2 sin^2 (A/2) +(b-c)^2 cos^2 (A/2)

Prove that sin^2 A cos^2 B+cos^2 A sin^2 B+cos^2 A cos^2 B+sin^2 A sin^2 B=1