Question

show that, sin2 teta (1+cot2 teta) = 1

Answer 1

Answer:

$sin^2\theta \left(1+cot^2\theta \right)=\frac{1+cot^2\theta }{csc^2\theta }=\frac{csc^2\theta }{csc^2\theta }=1$ QED.

The key here is to use trigonometric identity and play around with some reciprocal trigonometry.

Hope this helps :)

Step-by-step explanation:

Answer 2

Answer: hi

Step-by-step explanation:

A well know trigonometry identity

1 + Cot² ( x ) = Cosec² ( x )

=> Sin ² ( x ) × Cosec² ( x )

=> Sin² ( x ) × 1 / { Sin² ( x ) }

= 1

have a nice time.