Question

Prove that root 1-sin theta/1+sin theta=sec theta-tan theta

Answer 1

Answer:

=1 + SinA / CosA

Step-by-step explanation:Firstly consider L.H.S ; NOW rationalise

 √ 1 +SinA       √ 1+ SinA

--------------- x ----------------

√ 1- SinA        √1 + SinA

√ ( 1+ SinA)²          1+ SinA

------------------   =   --------------

√ 1²  -  Sin²A           Cos A

 Now consider RHS

= Sec A + Tan A

=1/ Cos A  +  SinA / CosA

=1 + SinA / CosA

Hence proved ....

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Answer 2

Step-by-step explanation:

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