Is cot^2(x)-csc^2(x)=1 ?

The answer to whether cot^2(x)-csc^2(x)=1 is False

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prove cot^2(x)-csc^2(x)=1

prove

cot^{2} (x) - csc^{2} (x) = 1

False

Solution steps

cot^{2} (x) - csc^{2} (x) = 1

Show that the two sides are not equal

\Rightarrow False

(sin (θ) - cos (θ))^{2} - 1 = - 2 sin (θ) cos (θ)

tan^{2} (2 π) = tan (2 π)

sec (θ) cot (θ) - sin (θ) = cos (θ) cot (θ)

9 sin (9 π - x) = 9 sin (x)

csc (u) - cos (u) = \frac{sin ( u )}{1 + cos ( u )}