Question #d4316

1 Answer
Øko
Feb 9, 2018

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#

Related questions
Impact of this question
247 views around the world
You can reuse this answer
Creative Commons License