Question

value of(cosecA+cotA)(1-cosA) =​

Answer 1

Answer:

cosec + cotan)(cos + 1) =

(1/sin + cos/sin)(cos + 1) = <--- cosec is the reciprocal of sin; cotan is reciprocal of tan

(1+cos)/sin * (cos +1)/1 = <--- combines into one fraction

(cos+1)^2 / sin

Answer 2

Answer: sinA

Step-by-step explanation:

cosecA = 1/sinA

cotA = cosA/sinA

(cosecA+cotA)(1-cosA) = (1/sinA + cosA/sinA)(1-cosA)

({cosA + 1)/sinA)(1-cosA)}

(1+cosA/sinA)(1-cosA) is in the form (a+b)(a-b)

1-cos2A/sinA

1-cos2A = sin2A

sin2A/sinA = sinA