What is cos(x)*(1+tan^2(x)) ?

The solution to cos(x)*(1+tan^2(x)) is sec(x)

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simplify cos(x)*(1+tan^2(x))

simplify

cos (x) \cdot (1 + tan^{2} (x))

sec (x)

Solution steps

cos (x) (1 + tan^{2} (x))

Rewrite using trig identities

= sec (x)

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f (x) \cdot x^{2} + 3 x - 5 f (\frac{1}{2})