If `0 lt A lt pi//2` and sinA + cosA + tan A + cotA + secA + cosec A=7 and sinA and cosA are roots of equation `4x^(2) - 3x +a=0`. Then value of 25a is:

If 0 lt a lt (pi)/(2) and sinA +cosA+tanA+cotA+secA+cosecA = 7, sinA and cosA are roots of equation 4x^(2) -3x +alpha = 0 , then the value of |(25alpha)/(4)| is _____________.

cosecA=1/sinA and cotA=cosA/sinA prove cosecA-cotA=tan(A/2)

cosA, sinA, cotA are in GP then tan^(6) A - tan^(2) A =

If sinA+cosA=0 and A lies in 4th quadrant, find the values of sinA and cosA.

If sinA+cosA=0 and A lies in 4th quadrant, find the values of sinA and cosA.

If sinA and cosA are the roots of the equation 4x^(2)-3x+a=0, sinA+cosA+tanA+cotA+secA+"cosec "A=7 and 0 lt A lt (pi)/(2) , then the value of a must be

Prove that: sinA(1+tanA)+cosA(1+cotA)= secA+"cosec"A

Prove that: sinA(1+tanA)+cosA(1+cotA)= secA+"cosec"A

If 90^(@) lt A lt 180^(@) and 3cosA+2=0 . Then quadratic equation whose roots are sin A and tan A, is

In sinA and cosA are the roots of the equation 4x^(2)-3x+a=0, sinA+cosA+tanA+cotA+secA+"cosec "A=7 and 0 lt A lt (pi)/(2) , then the value of a must be