Question

Express sin75⁰+cos55⁰ in the terms of angles between 0⁰ and 45⁰​

Answer 1

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$</p><p>cos 15^{\circ}+sin 35^{\circ}cos15∘+sin35∘ \\ </p><p></p><p>Step-by-step \: explanation: \\ </p><p></p><p>We \: are \: given \: that \\ </p><p></p><p>sin 75^{\circ}+cos55^{\circ}sin75∘+cos55∘ \\ </p><p></p><p>We \: have \: to \: express \: given \: \\ expression \: in \: terms \: of \: the \: angles \: \\ between \:  0^{\circ}0∘  \: and \: 45 \: degrees. \\ </p><p></p><p>sin (90-15)^{\circ}+cos (90-35)^{\circ}sin(90−15)∘+cos(90−35)∘ \\ </p><p></p><p>We \: know \: that \\ </p><p></p><p>sin (90-\theta)=cos\theta, cos (90-\theta)=sin\thetasin(90−θ)=cosθ,cos(90−θ)=sinθ \\ </p><p></p><p>Apply \: the \: formula \: then, \: we \: get \\ </p><p></p><p>cos 15^{\circ}+sin 35^{\circ}cos15∘+sin35∘</p><p></p><p>$