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If tan θ = x/y, then find sin 2θ + cos 2θ.
Asked by rishabhsankla1 | 06 Sep, 2019, 07:33: PM
answered-by-expert Expert Answer
sin 2 theta plus cos 2 theta equals fraction numerator 2 tan theta over denominator 1 plus tan squared theta end fraction plus fraction numerator 1 minus tan squared theta over denominator 1 plus tan squared theta end fraction equals fraction numerator 2 begin display style x over y end style over denominator 1 plus begin display style x squared over y squared end style end fraction plus fraction numerator 1 minus begin display style x squared over y squared end style over denominator 1 plus begin display style x squared over y squared end style end fraction equals fraction numerator 2 x y over denominator x squared plus y squared end fraction plus fraction numerator y squared minus x squared over denominator x squared plus y squared end fraction equals fraction numerator negative x squared plus y squared plus 2 x y over denominator x squared plus y squared end fraction
Answered by Renu Varma | 09 Sep, 2019, 10:23: AM

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