Question

cosecA - cotA = x
find, cosecA = ?​

Answer 1

Answer:

cosecA − cotA = x

1/sinA − (cosA/sinA) = x

(1 − cosA)/sinA = x

Multiplying and dividing by sinA,

(sinA – sinA.cosA)/sin2A = x

Sin2A + cos2A = 1

Hence, sin2A = 1 − cos2A

1 − cos2A = (1 + cosA)(1 − cosA)

Hence, x = (sinA– sinA . cosA)/(1 + cosA)(1 − cosA)

x = sinA(1 − cosA)/(1 + cosA)(1 − cosA)

x = sinA /(1 + cosA)

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Answer 2

Step-by-step explanation:

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