1.

Prove that `sec((3pi)/2-theta)sec(theta-(5pi)/2)+tan((5pi)/2+theta)tan(theta-(3pi)/2)=-1`

Answer» `sec((3pi)/2-theta)sec(theta-(5pi)/2)+tan((5pi)/2+0)tan(theta-(3pi)/2)`
`=-cosecthetacosectheta+cotthetacot theta`
`=-(cosec^2theta-cot^2theta)=-1`


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