Question

prove that (secQ+tanQ)=cosecq+1/cosecq-1​

Answer 1

Step-by-step explanation:

taking LHS

(secq+tanq)

=(1 /cosq+sinq/cosq)

=1+sinq

cosq

we have to square

=(1+sin)^2

cos2q

=(1+sinq)(1+sinq)

1-sin2q

=(1+sinq)(1+sinq)

(1+sinq)(1-sinq)

=(1+sinq)

(1-sinq)

taking RHS

cosecq+1

cosecq-1

=1+sinq/sinq

1-sinq/sinq

=1+sinq

1-sinq

LHS = RHS

hence proved