Question

Prove : 1 / (sec Q - tan Q) = sec Q + tan Q

Answer 1

Answer:

Step-by-step explanation:

secQ + tanQ)(1-sinQ) = cosQ

LHS = (1/cosQ +sinQ/cosQ)(1-sinQ)

=( 1+sinQ/cosQ)(1-sinQ)

= 1-sin^2Q/cosQ

=cos^2Q/cosQ

= cosQ

Answer 2

Step-by-step explanation:  

sec^2+tan^2=1

Therefore u can multiply 1/(secQ-tanQ) by (secQ+tanQ)/(secQ+tanQ)

u will directly get the ans