How do you simplify the expression $csctheta/sintheta-cottheta/tantheta$ ?

Question

2875 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-02T02:44:30

$=>(1/sintheta)/sintheta - (costheta/sintheta)/(sintheta/costheta)$

$=>1/sintheta xx 1/sintheta - costheta/sintheta xx costheta/sintheta$

$=>1/sin^2theta - cos^2theta/sin^2theta$

$=> (1 - cos^2theta)/sin^2theta$

$=> sin^2theta/sin^2theta$

$=>1$

Hopefully this helps!

How do you simplify the expression csctheta/sintheta-cottheta/tanthetacsctheta/sintheta-cottheta/tantheta?