Question

Prove: cosec theta √1-cos^2 theta = 1 ​

Answer 1

Answer:

$\csc(theta) \times \sqrt{1 - { \cos(theta ) }^{2} } \\ = \csc(theta) \times \sqrt{ { \sin(theta) }^{2} } \\ = \csc(theta ) \times \sin(theta) \\ = \frac{1}{sin \: theta} \times \sin(theta ) \\ = 1$

which is the required ans

Borahae❣❣❣

Answer 2

Answer:

Identity : sin² θ+cos θ=1

LHS = cosecθ √(1−cos² θ)

=cosecθ √sin² θ

=cosecθsinθ

= 1/sinθ ×sinθ

=1

=RHS