If , then show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If 2cos⁡A=x+1x2 \cos A = x + \frac{1}{x} , 2cos⁡β=y+1y2 \cos \beta = y + \frac{1}{y} then show that 2cos⁡(A−B)=xy+yx2 \cos(A - B) = \frac{x}{y} + \frac{y}{x} .

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