Why multiply number and denominator with in trigonometry?
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1
because the two denominators on the left have nothing in common, so you multiply each fraction by the other's denominator — or, rather, by that denominator over itself, which equals 1.
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30
multiplying the numerator and denominator of a fraction by a conjugate can create some really nice results. Multiply the numerator and denominator of the fraction on the left by the conjugate of the denominator. The two denominators multiplied together are the difference of two squares.
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