Math, asked by vraj553, 1 year ago

if cos teta + sin teta =and secteta +costeta =qbprove that q(p2-1)=2p​

Answers

Answered by anonymousme75
1

Step-by-step explanation:

  • LHS= RHS
  • LHS= RHS Hence Proved...
  • LHS= RHS Hence Proved... Please Mark As Brainliest..
Answered by 27maanvi
1

P=sinθ+cosθ and q=secθ+cosecθ

q(p²-1)

=(secθ+cosecθ)[(sinθ+cosθ)²-1]

=(1/cosθ+1/sinθ)(sin²θ+2sinθcosθ+cos²θ-1)

={(sinθ+cosθ)/sinθcosθ}(2sinθcosθ) [ Since, sin²θ+cos²θ=1]

=2(sinθ+cosθ)

=2p (Proved)

hope it helps you.

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