Question

Question #873d9

Answer 1

1. `cot(x) + cot(180°−x)+ tan (90°+x)`

.`= cot(x) - cot(x)- cot (x)=-cotx`

3 `sec^2(α− (3π)/2 )− cos((3π)/2 +α)csc(π−α)`

`=sec^2(-( (3π)/2-alpha ))− cos((3π)/2 +α)csc(π−α)`

`=sec^2( (3π)/2-alpha )− cos((3π)/2 +α)csc(π−α)`

`=-cosec^2( alpha )−sin(α)csc(α)`

`=-cosec^2( alpha )−1`