If `sin^(4)A-cos^(4)A=1,then (A//2)`is ______.`(0ltAle90^(@))`.

Prove that (i) sin (90^(2)-A)cos (90^(@)-A)=(tanA)/(1+tan^(2)A) (ii) (cos(90^(@)-A).cosA)/(cotA)-sin^(2)A=0

Find the value of 4(sin^(4)30^(@)+cos^(4)30^(@))-3(cos^(2)45^(@)+sin^(2)90^(@)) .

If sin A + sin^(2)A + sin^(3)A =1 , then , prove that cos^(6) A - 4 cos^(4) A + 8 cos^(2) A =4 .

Prove that sin (270^(@)-theta) sin (90^(@)-theta)-cos(270^(@)-theta) cos (90^(@)+theta)+1=0

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

If 4 cos^(2) A - 3 = 0 and 0^(@) le A le 90^(@), then prove that : sin 3 A = 3 sin A - 4 sin^(3) A

If sin 4 A - cos 2 A = cos 4 A - sin 2A (0 lt Alt (pi)/( 4)) then the value of tan 4A is

If sin 4 A - cos 2A = cos 4A - sin 2A, (0 lt A lt (pi)/(4)) then the value of tan 4A is

If sin A+sin^(2)A=1, then the value of cos^(2)A+cos^(4)A is 2(b)1(c)-2(d)0