Question

Write the trigonometric expression in terms of sine and cosine, and then simplify.
tan θ/(sec θ − cos θ)

Answer 1

Hello,

tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]