Trigonometry angels

Trigonometry angels

I often find this in the math problems, but the author doesnt make it clear if alpha needs to be an acute angle or not, so i am confused a little bit. I thought we can only do this kind of transformation if we know that alpha is less than 90 degrees. So, my question is why is this true for any angle if it is tanfrac5pi4-alphatanfracpi4-alpha

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