Answer:
TO VERIFY :-
- [tex]\csc \theta \times \cos \theta \times \tan \theta = 1[/tex]
GENERAL TRIGONOMETRIC FORMULAES :-
- [tex]\csc \theta = \frac{1}{\sin \theta}[/tex].
- [tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]
SOLUTION :-
L.H.S. =
[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]
[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]
[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]
[tex]=> 1[/tex]
R.H.S. = 1
∴ L.H.S. = R.H.S. (Proved)
