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

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

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

prove

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

True

Solution steps

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

Use the Pythagorean identity:

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

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

\Rightarrow True

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

tan^{2} (x) cos^{2} (x) = 1 - cos^{2} (x)

2 csc (2 θ) cos (2 θ) = cot (θ) - tan (θ)

6 sin (x) cos (x) = 3 sin (2 x)

\frac{tan ^{2} ( θ )}{sec ( θ )} = sin (θ) tan (θ)