How do you verify the identify $sec θ = csc θ tan θ$ $sectheta=cscthetatantheta$ ?

Question

1372 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-03T19:24:11

see below

$sec θ = csc θ tan θ$ $sec theta=csctheta tan theta$

Right Side $= csc θ tan θ$ $= csc theta tan theta$

$= \frac{1}{sin θ} \cdot \frac{sin θ}{cos θ}$ $=1/sin theta * sintheta/cos theta$

$= \frac{1}{cos θ}$ $=1/cos theta$

$= sec θ$ $=sec theta$

$=$ $=$ Left Side

How do you verify the identify secθ=cscθtanθsectheta=cscthetatantheta?