Question

HELP!!!!! You will receive Branliest! Solve the proof using the identities. Make sure to only solve the left side, leave the right side as is.$\frac{1-sin^{2}\beta}{cos^{2}\beta-1} = -cot^{2} \beta$

Answer 1

Answer:

Proven

Step-by-step explanation:

The given identity is

$\frac{1-sin^2\beta }{cos^2\beta -1}=-cot^2\beta$

We use the fundamental trigonometric relationship

$sin^2x+cos^2x=1$

Or equivalently

$sin^2x=1-cos^2x$

$cos^2x=1-sin^2x$

Using them in the left hand side

$\frac{1-sin^2\beta }{cos^2\beta -1}=\frac{cos^2\beta }{-sin^2\beta}=-\left ( \frac{cos\beta }{sin\beta} \right )^2=-cot^2\beta$

Hence proven