If `cosec A +cotA= 5/2,` then `tan A` is

If cosec A + sin A = 5(1)/5 , find the value of "cosec"^2 A+ sin^2A .

If cosec A + sec A = cosec B + sec B , prove that tan A tan B = cot( A+ B)/ 2

Prove that : (sec A - tan A)/ (cosec A + cot A) = (cosec A - cot A)/ (sec A + tan A)

If cosec A = sqrt3 , find the value of: (2 sin ^(2)A + 3 cot ^(2) A)/( tan ^(2) A+ cos ^(2)A)

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

(cosec A. cosecB+cotA . cotB)^2-(cosec A. cotB + cosecB. cot A)^2 is

If 15 cotA = 8 , then find the value of cosec A .

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:

Prove the following identities : (1 + cot A - cosec A) ( 1 + tan A +sec A) = 2

The angle of elevation of the top of a hill from each of the verticles A,B,C of a horizontal triangle is alpha . The height of the hill is 1. b tan α cosec β 2. 1 2 a tan α cosec A 3. 1 2 c tan α cos e c C 4. none of these