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

sec (x)

Solution steps

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

Rewrite using trig identities

= sec (x)

cot^{2} (θ) (1 + tan^{2} (θ))

\frac{( 2 x ^{3} ) ( 3 x ^{2} )}{( x ^{2} ) ^{3}}

2.5 a^{6} - 2.5 b^{6}

\frac{tan ( θ )}{sec ( θ )}