Is 8-4csc^2(z)=4-4cot^2(z) ?

The answer to whether 8-4csc^2(z)=4-4cot^2(z) is True

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prove 8-4csc^2(z)=4-4cot^2(z)

prove

8 - 4 csc^{2} (z) = 4 - 4 cot^{2} (z)

True

Solution steps

8 - 4 csc^{2} (z) = 4 - 4 cot^{2} (z)

Manipulating left side

8 - 4 csc^{2} (z)

Rewrite using trig identities

= - 4 cot^{2} (z) + 4

= 4 - 4 cot^{2} (z)

We showed that the two sides could take the same form

\Rightarrow True

1 + sin^{2} (x) = 2 - cos^{2} (x)

\frac{csc ( x ) - sin ( x )}{csc ( x )} = cos^{2} (x)

sin (a) = \frac{2 tan ( \frac{a}{2} )}{1 + tan ^{2} ( \frac{a}{2} )}

sin (θ) = sin (θ - 2 π)

3 sec^{2} (x) - 2 tan^{2} (x) - 4 = 0

Is 8-4csc^2(z)=4-4cot^2(z) ?
The answer to whether 8-4csc^2(z)=4-4cot^2(z) is True