Question

The expression tan^3(θ) + (sin(θ)/cos(θ)) is equal to:
a) cot(θ)
b) tan(θ)sec^2(θ)
c) tan(θ)
d) sin(θ)tan(θ)
e) tan(θ)csc^2(θ)

Answer 1

\[\tan^{3}{\theta}+(\frac{\sin{\theta}}{\cos{\theta}})=?\]

Answer 2

\[\text{Rule: }\frac{\sin{\theta}}{\cos{\theta}}=\tan{\theta}\]\[\text{SO we get }\tan^{3}{\theta}+\tan{\theta}...\]

Answer 3

\[\text{This leads to: }\tan{\theta}(\tan^{2}{\theta}+1)\]

Answer 4

\[\text{What identity is }"\tan^{2}{\theta}+1"?\]

Answer 5

http://www.sosmath.com/trig/Trig5/trig5/trig5.html

Answer 6

sec^2(θ)

Answer 7

thank you so much

Answer 8

Don't forget the tangent!\[A:\tan{\theta}\sec^{2}{\theta}\]