For θ≠0, if cos⁡θ+sec⁡θ=2, then cosn⁡θ+secn⁡θ equals

cos⁡θ+sec⁡θ=2⇒cos2⁡θ−2cos⁡θ+1=0⇒cos⁡θ=sec⁡θ=1⇒cosn⁡θ+secn⁡θ=2

For θ≠0, if cos⁡θ+sec⁡θ=2, then cosn⁡θ+secn⁡θ equals

cos⁡θ+sec⁡θ=2⇒cos2⁡θ−2cos⁡θ+1=0⇒cos⁡θ=sec⁡θ=1⇒cosn⁡θ+secn⁡θ=2

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For $θ \neq 0,$ if $\cos θ + \sec θ = 2,$ then $\cos^{n} θ + \sec^{n} θ$ equals

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$\begin{array}{l} c o s θ + s e c θ = 2 \Rightarrow c o s^{2} θ - 2 c o s θ + 1 = 0 \\ \Rightarrow c o s θ = s e c θ = 1 \Rightarrow c o s^{n} θ + s e c^{n} θ = 2 \end{array}$

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For θ≠0, if cos⁡θ+sec⁡θ=2, then cosn⁡θ+secn⁡θ equals

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For $θ \neq 0,$ if $\cos θ + \sec θ = 2,$ then $\cos^{n} θ + \sec^{n} θ$ equals