Prove that- -4 - - -4 - - - 2 2-

[ LHS = ( π4 + θ)( π4 θ) = 1cos( π4 θ)×1cos( π4 + θ); 22cos( π4 θ)cos( π4 + θ) = 2cos( 2π4) + cos( 2θ); = 2cos( π2) + cos( 2θ) = 20 + cos( ...

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Sum of Trigonometric Ratios in Terms of Their Product

Prove that: ...

Question

Prove that:
$sec (\frac{π}{4} + θ) sec (\frac{π}{4} - θ) = 2 sec 2 θ$

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csc (π / 4 + θ) csc (π / 4 - θ) = sec (π / 4 + θ) sec (π / 4 - θ) = 2 sec 2 θ

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θ

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