Answer:
(-sinx)
Step-by-step explanation:
The given expression is cox²x cosecx - cosecx
We have to simplify it
= cos²x[tex](\frac{1}{sinx})-(\frac{1}{sinx})[/tex]
= [tex]\frac{cos^{2}x }{sinx}-\frac{1}{sinx}[/tex]
= [tex]\frac{1}{sinx}[/tex] × (cos² x-1)
= -[tex]\frac{1-con^{2}x}{sinx}[/tex]
= -[tex]\frac{sin^{2}x}{sinx}[/tex]
= - sinx
Therefore, (-sinx) is the answer.
