Statement II: `4sinA cos^3 A-4 cosAsin^3A=cos4A` Which of the above statements is correct?

Statement I: cos 52^(@)+cos68^(@)+cos172^(@)=1/2 Statement II: 4sin Acos^(3)A-4cosAsin^(3)A=cos4A Which of the above statements is correct?

sin4A=4sinAcos^3A-4cosAsin^3A

Statement-I : In DeltaABC , if sinA- cos B= cos C then B=(pi)/(2) Statement-II : |sinx+cosx| ge sqrt(2) Which of the above statements is correct ?

Statement I: If sinA=sinB , cosA=cosB then A= 2np + B Statement II :If A+B+C=90^@ then sin2A+sin2B + sin2C = 4 sinA sinB sinC Which of the above statements is correct?

Statement-I: The area bounded by x=2 cos theta,y=3sin theta is 36pi sq. units. Statement-II : The area bounded by x=2cos theta, y=2 sin theta is 4pi sq. units. Which of the above statement is correct.

Statement-I: The area bounded by x=2 cos theta,y=3sin theta is 36pi sq. units. Statement-II : The area bounded by x=2cos theta, y=2 sin theta is 4pi sq. units. Which of the above statement is correct.

Prove that : sin 4A=4 sinA cos^3 A- 4 cosA sin^3 A .

Statement I: If A+B+C=pi and cos A =cos B cos C then cot B cot C=1/3 Statement II : If 5 sin B=sin (2A+B) then 2tan(A+B)=3 tan A Which of the above statements is correct?

Statement I : Minimum value of (3 sn theta -4 cos theta ) ( 3 cos theta + 4 sin theta ) is -(25)/(2) Statement II : Minimum value of 9 tan^(2) x+ 16 cot^(2) x is 24 Which of the above statement is correct ?

Prove that, sin4A=4sinAcos^(3)A-4cosAsin^(3)A