Question

Verify that cscθ cosθ tanθ =1

Answer 1

Cos=-0 cos=0 verify it and it’s right

Answer 2

Answer:

TO VERIFY :-

• $\csc \theta \times \cos \theta \times \tan \theta = 1$

GENERAL TRIGONOMETRIC FORMULAES :-

• $\csc \theta = \frac{1}{\sin \theta}$.
• $\tan \theta = \frac{\sin \theta}{\cos \theta}$

SOLUTION :-

L.H.S. =

$\csc \theta \times \cos \theta \times \sin \theta$

$=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}$

$=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}$

$=> 1$

R.H.S. = 1

∴ L.H.S. = R.H.S. (Proved)