What is tan(θ)+(cos(θ))/(1+sin(θ)) ?

The solution to tan(θ)+(cos(θ))/(1+sin(θ)) is sec(θ)

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simplify tan(θ)+(cos(θ))/(1+sin(θ))

simplify

tan (θ) + \frac{cos ( θ )}{1 + sin ( θ )}

sec (θ)

Solution steps

tan (θ) + \frac{cos ( θ )}{1 + sin ( θ )}

Join

tan (θ) + \frac{cos ( θ )}{1 + sin ( θ )} : \frac{tan ( θ ) ( sin ( θ ) + 1 ) + cos ( θ )}{1 + sin ( θ )}

= \frac{tan ( θ ) ( sin ( θ ) + 1 ) + cos ( θ )}{1 + sin ( θ )}

Express with sin, cos

= \frac{cos ^{2} ( θ ) + ( 1 + sin ( θ ) ) sin ( θ )}{( 1 + sin ( θ ) ) cos ( θ )}

Rewrite using trig identities

= sec (θ)

\frac{9 x ^{7} y ^{5}}{27 x ^{8} y ^{7}}

sin (x) (- s) in x

tan (x) tan (x)

(x + 4) (x + 1) (x - 1)^{2}

2 π

What is tan(θ)+(cos(θ))/(1+sin(θ)) ?
The solution to tan(θ)+(cos(θ))/(1+sin(θ)) is sec(θ)