Answer:
- 1
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex], csc x = [tex]\frac{1}{sinx}[/tex], cot x = [tex]\frac{cosx}{sinx}[/tex]
Given
- sin x tan x csc x cot x, then
- sin x × [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ← cancel sin x on numerator/denominator
- sin x × [tex]\frac{1}{cosx}[/tex] ← multiply by cot x
= - sin x × [tex]\frac{1}{cosx}[/tex] × [tex]\frac{cosx}{sinx}[/tex] ← cancel sin x and cos x on numerator/denominator
= - 1
