Question

Can someone please help? tan(θ)+cot(θ)=(sec(θ))/(sin(θ))
L.S (sin^2(θ)+cos^2(θ))/(cos(θ))(sin(θ))
=1/(cos(θ))(sin(θ))
R.S sec(θ)/sin(θ)
=1/cos(θ)/sin(θ)
Please help. I always get stuck :(

Answer 1

\[\tan \theta +\cot \theta =\frac{\sin \theta}{\cos \theta}+\frac{\cos \theta}{\sin \theta}=\frac{\sin ^2\theta+\cos ^2\theta}{\sin \theta \cos \theta}=\frac{1}{\sin \cos \theta}\]

Answer 2

\[\frac{1}{\sin \theta \cos \theta}=\frac{1}{\sin \theta}\frac{1}{\cos \theta}=\frac{1}{\sin \theta}\sec \theta =\frac{\sec \theta}{\sin \theta}\]

Answer 3

Does this mean that they are not an identity??

Answer 4

What is the right side?

Answer 5

the right side is sec(θ)/sin(θ)

Answer 6

What did I show the left side is equal to?

Answer 7

1/sin(θ)cos(θ)

Answer 8

Look at the window right below that where the work continues.

Answer 9

oh okay. Thank you very much

Answer 10

yw