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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
1+1 / cos A =...
Question
1+1/cosA= tan
2
A/secA-1. Prove it
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Solution
1 + tan^2A = sec^2ASo tan^2A= sec^2A - 1=(secA + 1)(secA -1) ....(1) Solving LHS...Tan^2A/ secA +1Substituting the value of tan^2A from equation 1.. (SecA+1)(secA-1) /(secA+1)= secA - 1= (1/cosA) -1 =1-cosA / cosA=RHSHENCE PROVED
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