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Q. Evaluate: tan 1 2 cos - 1 5 3

Dear Student,
We have,tan12cos-153----(1)let,12cos-153=xcos-153=2x53=cos2xAs,we know;53=1-tan2x1+tan2x5+5tan2x=3-3tan2x5tan2x+3tan2x=3-5tan2x5+3=3-5tan2x=3-53+5On rationalizing, we gwt;tan2x=3-5232-52tan2x=3-524tanx=3-52x=tan-13-52now, in (1)tan(tan-13-52)=3-52
Hope, you will find this answer helpful.

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