Question

prove the following identity sin teta/1-cos teta=cosecteta+cot teta​

Answer 1

Answer:

sintheta / 1 - costheta = cosectheta + cot theta

LHS

sintheta / 1 - costheta

sintheta × 1 + costheta / (1 - costheta ) (1 + costheta) (multiplying 1 + costheta in both nrs and drs )

sintheta (1 + costheta)/ 1 - cos^2theta

sintheta (1 + costheta ) / sin^2theta (1 - cos^2theta = sin^2theta formula )

sintheta (1 + costheta ) / sin^2theta

1 + costheta / sintheta .

RHS

cosectheta + cot theta

1 / sintheta + costheta / sintheta (according to formula)

1 + costheta / sintheta .

(LHS = RHS) hence proved. mark it as brainliest