What is 1+tan^2(pi/(16)x) ?

The solution to 1+tan^2(pi/(16)x) is sec^2((pix)/(16))

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simplify 1+tan^2(pi/(16)x)

simplify

1 + tan^{2} (\frac{π}{16} x)

sec^{2} (\frac{π x}{16})

Solution steps

1 + tan^{2} (\frac{π}{16} x)

Multiply

\frac{π}{16} x : \frac{π x}{16}

= 1 + tan^{2} (\frac{π x}{16})

Use the Pythagorean identity:

tan^{2} (x) + 1 = sec^{2} (x)

= sec^{2} (\frac{π x}{16})

sin (arccos (\frac{x}{13}))

cos (x - \frac{π}{12})

1 + (- cot (x))^{2}

2 cos (x + \frac{π}{2})

cos (- arctan (\frac{b}{a}))

What is 1+tan^2(pi/(16)x) ?
The solution to 1+tan^2(pi/(16)x) is sec^2((pix)/(16))