(1+sinA))(1-sinA)=1/sec^2A prove that?

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Øko Share
Feb 9, 2018

Answer:

See explanation

Explanation:

We want to verify the identity

#(1+sin(a))(1-sin(a))=1/sec^2(a)#

We will use

  • #cos^2(x)=1-sin^2(a)#
  • #cos(x)=1/(1/cos(x))=1/sec(x)#

#LHS=(1+sin(a))(1-sin(a))#

#=1-sin^2(a)#

#=cos^2(a)#

#=1/sec^2(a)=RHS#

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