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Prove that sec(pi/4+theta)sec(pi/4-the...

Prove that
`sec(pi/4+theta)sec(pi/4-theta)=2 sec 2theta`

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CHHAYA PUBLICATION-TRANSFORMATIONS OF SUMS AND PRODUCTS-Short Answer Type Questions
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  2. Prove that sin 5 x cos 2x + cos 6 x sin 3 x = sin 8x cos x

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  3. Prove that sec(pi/4+theta)sec(pi/4-theta)=2 sec 2theta

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  4. Prove that cos (alpha+beta) +sin (alpha-beta)=2sin(pi/4+alpha)cos(pi...

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  5. Prove that 1 + (cos105^(@) + cos 165^(@))/(sin 105^(@) + sin 375^(@)...

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  7. Prove that cos 80^(@) - cos 40^(@) + sqrt3 cos 70^(@) = 0

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  8. Prove that cos(60^(@)+A) + cos(60^(@)-A)-cosA=0

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  9. Prove that "sin"((2pi)/3+theta)-"sin"((2pi)/3-theta) + sintheta=0

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  10. Prove that sin19^(@) + sin41^(@) + sin83^(@) = sin23^(@) + sin37^(@) ...

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  11. Prove that sin10^(@) + sin20^(@) + sin 40^(@) + sin 50^(@) = sin 70^(...

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