Question

Prove that ( cosecA -sinA) (secA-cosA) = 1/tanA+cotA

Answer 1

Hope this will help you^_^

Answer 2

Answer:

Step-by-step explanation:

L.H.S

(cosecA-sinA)(secA-cosA)

=(1/sinA-sinA)(1/cosA-cosA)

=(1-sin^A/sinA)(1-cos^A)

=cos^A/sinA*sin^A/cosA

=cosA*sinA

R.H.S

1/tanA+cotA

=1/sinA/cosA+cosA/sinA

=1/sin^A+cos^A/sinAcosA

=1/1/sinAcosA

=sinAcosA

L.H.S=R.H.S

Hence Proved