What is tan(x)sin(x)+sec(x)cos^2(x) ?

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

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simplify tan(x)sin(x)+sec(x)cos^2(x)

simplify

tan (x) sin (x) + sec (x) cos^{2} (x)

sec (x)

Solution steps

tan (x) sin (x) + sec (x) cos^{2} (x)

Express with sin, cos

= \frac{cos ^{2} ( x ) + sin ^{2} ( x )}{cos ( x )}

Rewrite using trig identities

= sec (x)

(2 n^{2} - 1)^{2}

\frac{( - 14 x ^{3} )}{( + 2 x ^{2} )}

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

4 x - 6 x + 7 x

2 x^{2} + 20 x + 64

What is tan(x)sin(x)+sec(x)cos^2(x) ?
The solution to tan(x)sin(x)+sec(x)cos^2(x) is sec(x)